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1	The Geometry of quasi-Sasaki Manifolds Welly, Adam 27 October 2016 (has links) Let (M,g) be a quasi-Sasaki manifold with Reeb vector field xi. Our goal is to understand the structure of M when g is an Einstein metric. Assuming that the S^1 action induced by xi is locally free or assuming a certain non-negativity condition on the transverse curvature, we prove some rigidity results on the structure of (M,g). Naturally associated to a quasi-Sasaki metric g is a transverse Kahler metric g^T. The transverse Kahler-Ricci flow of g^T is the normalized Ricci flow of the transverse metric. Exploiting the transverse Kahler geometry of (M,g), we can extend results in Kahler-Ricci flow to our transverse version. In particular, we show that a deep and beautiful theorem due to Perleman has its counterpart in the quasi-Sasaki setting. We also consider evolving a Sasaki metric g by Ricci flow. Unfortunately, if g(0) is Sasaki then g(t) is not Sasaki for t>0. However, in some instances g(t) is quasi-Sasaki. We examine this and give some qualitative results and examples in the special case that the initial metric is eta-Einstein. Differential geometry Einstein metric Kahler Quasi-Sasaki Ricci flow Sasaki
2	Χωροχρονικές συνέπειες της Θεωρίας Χορδών σε χαμηλές διαστάσεις Ζωάκος, Δημήτριος 30 July 2007 (has links) Στόχος της διατριβής είναι η αναζήτηση υπερσυμμετρικών λύσεων με προέλευση από την Μ θεωρία και τη θεωρία χορδών στις 10-διαστάσεις, με συνακόλουθη μελέτη των συνεπειών τους στις 4-διαστάσεις μέσω της αντιστοιχίας βαρύτητας/βαθμίδας. Στο πρώτο βήμα προχωρούμε σε συστηματική κατασκευή υπερσυμμετρικών βαρυτικών λύσεων της υπερβαρύτητας σε διάφορες διαστάσεις με μειωμένη Lorentzian ολονομία. Η κατασκευή μας βασίζεται στην εισαγωγή χρονικής εξάρτησης στις παραμέτρους moduli των Riemannian αντιγράφων. Συνεπώς οδηγούμαστε σε D-διάστατες υπερσυμμετρικές λύσεις κενού με Lorentzian ομάδα ολονομίας της μορφής G×RD-2. Στο δεύτερο βήμα προσεγγίζουμε τους 5-διάστατους χώρους Sasaki-Einstein, οι οποίοι παρεμβάλονται μεταξύ της S5 και του T1,1. Χρησιμοποιώντας τους 5-διάστατους αυτούς χώρους σαν βάση κατασκευάζουμε 6-διάστατους υπερσυμμετρικούς κώνους, οι οποίοι στη συνέχεια θα αποτελέσουν τα δομικά στοιχεία για την κατασκευή λύσεων της 10-διάστατης υπερβαρύτητας τύπου ΙΙΒ για συσσωματώματα από D3 και D5-βράνες. Στο τρίτο βήμα μελετάμε τις δυϊκές βαρυτικές λύσεις του κλάδου Coulomb που αντιστοιχούν σε μια marginally παραμορφωμένη N=4 θεωρία Yang-Mills. Μέσα από μια αλληλουχία από Τ δυϊκότητες και μετατοπίσεις συντεταγμένων κατασκευάζουμε το δυϊκο βαρυτικό υπόβαθρο, ουσιαστικά παρουσιάζοντας μια γενική μεθοδολογία. Εξετάζουμε ενδελεχώς το ζήτημα της υπερσυμμετρίας και πως αυτή ελαττώνεται από Ν=4 σε Ν=1. Στη συνέχεια ανιχνεύουμε την γεωμετρία μέσα από τον υπολογισμό του βρόχου Wilson για ζεύγος βαρέων quark-antiquark, αποκαλύπτοντας φαινόμενα θωράκισης και εγκλωβισμού για το δυναμικό. / Our main objective is the quest of supersymmetric solutions coming from M theory and 10-dim string theory together with the study of their implications in 4-dim through the AdS/CFT correspondence. As a first step we proceed in a systematic construction of supersymmetric supergravity solutions in diverse dimensions with reduced Lorentzian holonomy. Our construction is based on time dependence insertion over the moduli parameters of the Riemannian counterparts. We end up with D-dim supersymmetric vacuum solutions with Lorentzian holonomy group of the semidirect product type G×RD-2. In the second step we get near the 5-dim Sasaki-Einstein spaces which interpolate between S5 and T1,1. Using those 5-dim spaces as a base we construct the 6-dim supersymmetric cones which in turn will form the building blocks for the consequent construction of supersymmetric type-IIB supergravity solutions representing a stack of D3- and D5-branes. In the last step we study the gravity duals of the Coulomb branch of marginally deformed N=4 Yang-Mills theory. Through a sequence of T dualities and coordinate shifts we construct the dual supergravity background, in other words present a general methodology. We examine in detail the issue of supersymmetry and in particular the way it is reduced from N=4 to N=1. We probe the geometry through the computation of the expectation value of the Wilson loop operator for a pair of quark-antiquark, reviling confining and complete screening phenomena for the potential. Θεωρία χορδών Υπερβαρύτητα Υπερσυμμετρία Παραμορφώσεις Ολονομία String theory Supergravity Supersymmetry Marginal deformation Sasaki-Einstein spaces Holonomy
3	近現代アイヌ思想史研究 : 佐々木昌雄の叙述を中心に / A history of modern & contemporary Ainu thought : with a focus on the writings of Masao Sasaki / キンゲンダイアイヌシソウシケンキュウ : ササキマサオノジョジュツオチュウシンニウィンチェスター, マーク, Winchester, Mark 23 March 2009 (has links) 博士(社会学) / 甲第507号 / 3, 143p / Hitotsubashi University(一橋大学) アイヌ思想史佐々木昌雄 AINU History of Thought Sasaki Masao
4	Attitude control on manifolds via optimization and contractions with automatic gain tuning Vang, Bee 27 September 2021 (has links) The attitude (or orientation) of an object is often crucial in its ability to perform a task, whether the task is driving a car, flying an aircraft, or focusing a satellite. In traditional control approaches, the attitude is often parameterized by Euler angles or unit quaternions which exhibit problems such as gimbal lock or ambiguity in representation, respectively. These complications prevent the controllers from achieving global stability and worse they may cause real physical harm due to unexpected large motions. More recent works have achieved global stability and avoided these system failures by working directly on the configuration manifold, but these approaches are generally complex or lack automatic, user-friendly ways to tune them. The goal of this dissertation is to develop simple geometric attitude controllers that are globally, exponentially stable and can be automatically tuned. By simple, we mean that the controllers are computationally efficient for real time implementation on embedded computers and the tuning parameters have geometric interpretations. These properties make the controllers user friendly and practical for real hardware implementation even on fast dynamical systems. Furthermore, we aim to obtain an automatic tuning procedure that ensures convergence, and can also quantify and optimize performance guarantees. We achieve our goal through four major contributions. The first is a substantial generalization on the theory of classical Riemannian metrics for tangent bundles which provides the ability to compare and combine attitude and velocity terms in the stability analysis, allowing us to consider a larger set of feasible controller gains. The second contribution is a framework to study the stability of attitude systems on manifolds and to automatically tune the controller gains by combining Riemannian geometry, contraction theory, and offline optimization. The third contribution is the development of a globally, exponentially stable attitude controller. This controller overcomes the topological limitation that prevents continuous, time-invariant controllers from achieving global stability by using a time-varying intermediate reference trajectory. The fourth contribution is the improvement of the proposed controllers by way of point-wise-in-time quadratic programming. Mechanical engineering Drone Geometric control Nonlinear control Quadrotor Sasaki metric Second order systems
5	Conformal Vector Fields With Respect To The Sasaki Metric Tensor Field Simsir, Muazzez Fatma 01 January 2005 (has links) (PDF) On the tangent bundle of a Riemannian manifold the most natural choice of metric tensor field is the Sasaki metric. This immediately brings up the question of infinitesimal symmetries associated with the inherent geometry of the tangent bundle arising from the Sasaki metric. The elucidation of the form and the classification of the Killing vector fields have already been effected by the Japanese school of Riemannian geometry in the sixties. In this thesis we shall take up the conformal vector fields of the Sasaki metric with the help of relatively advanced techniques. QA Geometry 440-699
6	Hypersato Structures / Hypersato Structures Cuadros Valle, Jaime 25 September 2017 (has links) We define hypersato structures: these structures admit three inequivalent Sasakian structures such that each of these structures shares a common Reeb vector field and a common contact form with the others two. It is interestingto notice that hypersato manifolds can be viewed as U(1) principal orbibundles with base space a 4n-dimensional hyperkahler orbifold. We also discuss some results on the moduli problem of these structures. / Definimos variedades hipersato: estas variedades admiten tres estructuras del tipo Sasaki inequivalentes de tal manera que estas tres estructuras poseen un campo vectorial del tipo Reeb y una forma de contacto en común. Variedades que admiten estructura hipersato pueden considerarse como espacios totales de un fibrado principal U(1) del tipo orbifold, donde el espacio base admite una métrica singular hiperkahler. Discutimos tambien algunos resultados acerca del espacio moduli de variedades admitiendo estas estructuras. Riemannian Geometry Sasakian Geometry Hyperkahler Structures Msc(2010): 53c25 53b35 Geometra Riemanniana Geometra Sasaki Métricas Hiperkahler Msc(2010): 53c25 53b35
7	Ειδικές κατηγορίες πολλαπλοτήτων επαφής Riemann Μάρκελλος, Μιχαήλ 28 August 2008 (has links) Στη μεταπτυχιακή αυτή διπλωματική εργασία, αρχικά εισάγουμε τις έννοιες των μετρικών πολλαπλοτήτων σχεδόν επαφής και των μετρικών πολλαπλοτήτων επαφής, δίνοντας και μερικά παραδείγματα από κάθε κατηγορία. Στη συνέχεια, αναφέρουμε και αποδεικνύουμε λεπτομερώς μερικές βασικές γεωμετρικές ιδιότητες που χαρακτηρίζουν τις μετρικές πολλαπλότητες επαφής και, οι οποίες, εμπλέκουν τον τανυστή καμπυλό- τητας. Τέλος, δίνεται έμφαση σε ειδικές κατηγορίες μετρικών πολλαπλοτήτων επαφής που παρουσιάζουν ιδιαίτερο γεωμετρικό ενδιαφέρον και, κυρίως, είναι: πολλαπλότητες K- επαφής, πολλαπλότητες του Sasaki, (κ, μ) – πολλαπλότητες επαφής και μετρικές πολλαπλότητες Η – επαφής. / In this Master Thesis, we initially introduce the notions of almost contact metric manifolds and contact metric manifolds, giving some examples from each category. In sequel, we mention and prove explicitly some basic geometric properties of contact metric manifolds, which involve the curvature tensor. Summarizing, we focus on special classes of contact metric manifolds which have particular geometric interest and, mainly, are: K – contact manifolds, Sasakian manifolds, (κ, μ) – contact manifolds and H – contact metric manifolds. Πολλαπλότητες του Sasaki 512.73 Contact metric manifolds K – contact manifolds Sasakian manifolds (κ, μ) – contact manifolds H – contact metric manifolds
8	L’absurde dans les mangas de l’après Deuxième Guerre mondiale au Japon –Nejishiki de Tsuge Yoshiharu (つげ義春）et l’oeuvre de Sasaki Maki（佐々木マキ） Lopez Lena, Surya 12 1900 (has links) Ce mémoire se penche sur l’absurde dans les oeuvres de deux mangakas de l’après Deuxième Guerre mondiale, soit Tsuge Yoshiharu（つげ義春） et Sasaki Maki（佐々木マキ）. Cette étude comparative approche l’absurde comme expérience et tente de penser l’écho que le concept a pu ou non avoir chez les auteurs en question. Pour ce faire, une exploration de divers courants underground des années 50 et 60 au Japon (culture kasutori, nouvelle vague japonaise et avant-garde) est menée afin de retracer comment ceux-ci auraient éventuellement influencés les oeuvres des auteurs analysées, elles-mêmes s’inscrivant dans la culture manga underground de l’époque. Cette section sert également de point d’appui afin de réfléchir sur la place que l’absurde aurait pu prendre au sein de la société japonaise, voyant ses fondements basculer à l’aube de la défaite et contrainte à coopérer sous tutelle américaine. C’est dans cette optique que nous proposons une lecture de l’oeuvre culte de Tsuge Yoshiharu, Nejishiki (ねじ式) comme exprimant une nostalgie propre à une « sensibilité absurde », telle que théorisée par Camus, via le motif de la réparation du corps. Parallèlement à ceci, nous nous attarderons à l’oeuvre de Sasaki Maki au coeur de laquelle le nansensu, compris comme interjection ainsi que référence au courant de l’ero-guro-nansensu, s’érige. À la suite de quoi, nous conclurons sur une comparaison entre les deux expressions de l’absurde chez les mangakas étudiés de manière à dégager, également, ce qui différencie le nansensu de l’absurde. / This text focuses on the artwork of two mangakas of the post Second World War, Tsuge Yoshiharu（つげ義春） and Sasaki Maki（佐々木マキ）. This comparative study investigates the absurd through its experimental component and tries to think the resonance that the concept might have had (or not ) among the authors cited. To this effect, we will explore diverse movements of the 50’s and 60’s in Japan (kasutori culture, Japanese new wave and avant-garde) in order to retrace how they might have eventually influenced the works of the mangakas analysed, themselves being part of an underground culture in the manga community of the time. This section also serves as a starting point for reflecting on the place that the absurd had in the Japanese society of that era, the country being recently defeated and obliged to cooperate under the American occupation which will bring profound changes to the society. It’s in the same vein that we propose a reading of Tsuge Yoshiharu’s masterpiece, Nejishiki (ねじ式), as expressing a nostalgia specific to what Camus calls an « absurd sensibility » through the motive of a body in search of repair. Alternatively, we will analyse Sasaki Maki’s work in the heart of which nansensu, thought as an interjection and in reference to the movement of the ero-guro-nansensu, is present. Finally, we will conclude on a comparison between the two expressions of the absurd in Tsuge and Sasaki’s respective work in order, as well, to elucidate what distinguishes nansensu from the absurd. Absurde nansensu Deuxième Guerre mondiale manga gekiga Tsuge Yoshiharu Sasaki Maki Garo manga alternatif culture kasutori kokutai avant-garde nouvelle vague japonaise Absurd Second World War alternative manga kasutori culture Japanese new wave
9	Development of Sensitive In Vitro Assays to Assess the Ocular Toxicity Potential of Chemicals and Ophthalmic Products McCanna, David January 2009 (has links) The utilization of in vitro tests with a tiered testing strategy for detection of mild ocular irritants can reduce the use of animals for testing, provide mechanistic data on toxic effects, and reduce the uncertainty associated with dose selection for clinical trials. The first section of this thesis describes how in vitro methods can be used to improve the prediction of the toxicity of chemicals and ophthalmic products. The proper utilization of in vitro methods can accurately predict toxic threshold levels and reduce animal use in product development. Sections two, three and four describe the development of new sensitive in vitro methods for predicting ocular toxicity. Maintaining the barrier function of the cornea is critical for the prevention of the penetration of infections microorganisms and irritating chemicals into the eye. Chapter 2 describes the development of a method for assessing the effects of chemicals on tight junctions using a human corneal epithelial and canine kidney epithelial cell line. In Chapter 3 a method that uses a primary organ culture for assessing single instillation and multiple instillation toxic effects is described. The ScanTox system was shown to be an ideal system to monitor the toxic effects over time as multiple readings can be taken of treated bovine lenses using the nondestructive method of assessing for the lens optical quality. Confirmations of toxic effects were made with the utilization of the viability dye alamarBlue. Chapter 4 describes the development of sensitive in vitro assays for detecting ocular toxicity by measuring the effects of chemicals on the mitochondrial integrity of bovine cornea, bovine lens epithelium and corneal epithelial cells, using fluorescent dyes. The goal of this research was to develop an in vitro test battery that can be used to accurately predict the ocular toxicity of new chemicals and ophthalmic formulations. By comparing the toxicity seen in vivo animals and humans with the toxicity response in these new in vitro methods, it was demonstrated that these in vitro methods can be utilized in a tiered testing strategy in the development of new chemicals and ophthalmic formulations. in vitro Alternative Methods alamarBlue rhodamine tight junctions bovine lens viability toxicity mitochondria mitochondria integrity benzalkonium chloride sodium dodecyl sulphate sodium lauryl sulfate scanning electron microscopy Draize Draize maximal average scores zonula occludens cosmetic directive PETA humane society animal league ICCVAM ECVAM JaCVAM BCOP bovine cornea ocular irritants ocular irritation ocular toxicity human corneal epithelial cells vitro confocal confocal microscopy metabolic activity optical quality reactive oxygen species contact lens contact lens care solutions barrier function microbial keratitis mulitipurpose solutions tight junction cell damage claudin ZO-1 occludin MDCK Madin Madin-Darby canine kidney cells cornea human cornea human corneal epithelium epithelial cell line human corneal epithelial cell line sodium fluorescein sodium fluorescein permeability fluorescein permeability ocular surface cell monolayer Araki-Sasaki cell physiology risk assessment safety assessment ScanTox scanning laser lens epithelium corneal cells in vitro model ophthalmic formulations multiple instillation back vertex animal testing rabbit testing alternatives to animal testing cultured bovine lens toxicity of chemicals irritation irritants laser scanner organ culture delayed toxicity toxins hydrogen peroxide cornea toxicity cornea toxicity models prediction of human toxicity no observable adverse effect level lowest observable adverse effect level NOAEL LOAEL toxicity thresholds safety factors cornea uncertainty factors preservatives disinfectants ophthalmic products preclinical preclinical testing epithelial barrier drug penetration clinical confocal microscopy animal rights rabbit cornea human cornea human clinical effects toxic animal rights activist sensitive measures toxic effect toxicity threshold agar overlay agar diffusion agar overlay method agar diffusion method cytochrome cytochrome c apoptosis necrotic apoptotic necrosis caspase rhodamine 123 resazuran resorufin cell death cell viability metabolic dye microsomal microsomal enzymes cytotoxicity cytotoxic cytotoxic effect MTT XTT WST-1 plasma membrane mitochondrial mitochondrial morphology ocular toxicity potential ocular toxicity human corneal epithelial cell line confocal analysis corneal epithelium cell fluorescence alamarBlue assay rhodamine dye animal welfare toxic injury degraded mitochondria epithelial monolayer disinfectants membrane integrity eye toxicity eye viability dye toxicity in humans human toxicity effects on the mitochondria mitochondrial toxicity in vitro battery in vitro test battery ophthalmic eye drop direct contact product safety cytotoxicity potential molecular molecular biology refine reduce replace sensitivity and relevance sensitivity relevance rabbit ocular irritation test product development cytotoxicity models cytotoxicity alternative methods replacements for animal testing three r's beagle tiered testing tiered testing strategy replacements animal testing mechanistic toxicity cornea mitochondria dose response threshold Vision Science and Biology
10	Development of Sensitive In Vitro Assays to Assess the Ocular Toxicity Potential of Chemicals and Ophthalmic Products McCanna, David January 2009 (has links) The utilization of in vitro tests with a tiered testing strategy for detection of mild ocular irritants can reduce the use of animals for testing, provide mechanistic data on toxic effects, and reduce the uncertainty associated with dose selection for clinical trials. The first section of this thesis describes how in vitro methods can be used to improve the prediction of the toxicity of chemicals and ophthalmic products. The proper utilization of in vitro methods can accurately predict toxic threshold levels and reduce animal use in product development. Sections two, three and four describe the development of new sensitive in vitro methods for predicting ocular toxicity. Maintaining the barrier function of the cornea is critical for the prevention of the penetration of infections microorganisms and irritating chemicals into the eye. Chapter 2 describes the development of a method for assessing the effects of chemicals on tight junctions using a human corneal epithelial and canine kidney epithelial cell line. In Chapter 3 a method that uses a primary organ culture for assessing single instillation and multiple instillation toxic effects is described. The ScanTox system was shown to be an ideal system to monitor the toxic effects over time as multiple readings can be taken of treated bovine lenses using the nondestructive method of assessing for the lens optical quality. Confirmations of toxic effects were made with the utilization of the viability dye alamarBlue. Chapter 4 describes the development of sensitive in vitro assays for detecting ocular toxicity by measuring the effects of chemicals on the mitochondrial integrity of bovine cornea, bovine lens epithelium and corneal epithelial cells, using fluorescent dyes. The goal of this research was to develop an in vitro test battery that can be used to accurately predict the ocular toxicity of new chemicals and ophthalmic formulations. By comparing the toxicity seen in vivo animals and humans with the toxicity response in these new in vitro methods, it was demonstrated that these in vitro methods can be utilized in a tiered testing strategy in the development of new chemicals and ophthalmic formulations. in vitro Alternative Methods alamarBlue rhodamine tight junctions bovine lens viability toxicity mitochondria mitochondria integrity benzalkonium chloride sodium dodecyl sulphate sodium lauryl sulfate scanning electron microscopy Draize Draize maximal average scores zonula occludens cosmetic directive PETA humane society animal league ICCVAM ECVAM JaCVAM BCOP bovine cornea ocular irritants ocular irritation ocular toxicity human corneal epithelial cells vitro confocal confocal microscopy metabolic activity optical quality reactive oxygen species contact lens contact lens care solutions barrier function microbial keratitis mulitipurpose solutions tight junction cell damage claudin ZO-1 occludin MDCK Madin Madin-Darby canine kidney cells cornea human cornea human corneal epithelium epithelial cell line human corneal epithelial cell line sodium fluorescein sodium fluorescein permeability fluorescein permeability ocular surface cell monolayer Araki-Sasaki cell physiology risk assessment safety assessment ScanTox scanning laser lens epithelium corneal cells in vitro model ophthalmic formulations multiple instillation back vertex animal testing rabbit testing alternatives to animal testing cultured bovine lens toxicity of chemicals irritation irritants laser scanner organ culture delayed toxicity toxins hydrogen peroxide cornea toxicity cornea toxicity models prediction of human toxicity no observable adverse effect level lowest observable adverse effect level NOAEL LOAEL toxicity thresholds safety factors cornea uncertainty factors preservatives disinfectants ophthalmic products preclinical preclinical testing epithelial barrier drug penetration clinical confocal microscopy animal rights rabbit cornea human cornea human clinical effects toxic animal rights activist sensitive measures toxic effect toxicity threshold agar overlay agar diffusion agar overlay method agar diffusion method cytochrome cytochrome c apoptosis necrotic apoptotic necrosis caspase rhodamine 123 resazuran resorufin cell death cell viability metabolic dye microsomal microsomal enzymes cytotoxicity cytotoxic cytotoxic effect MTT XTT WST-1 plasma membrane mitochondrial mitochondrial morphology ocular toxicity potential ocular toxicity human corneal epithelial cell line confocal analysis corneal epithelium cell fluorescence alamarBlue assay rhodamine dye animal welfare toxic injury degraded mitochondria epithelial monolayer disinfectants membrane integrity eye toxicity eye viability dye toxicity in humans human toxicity effects on the mitochondria mitochondrial toxicity in vitro battery in vitro test battery ophthalmic eye drop direct contact product safety cytotoxicity potential molecular molecular biology refine reduce replace sensitivity and relevance sensitivity relevance rabbit ocular irritation test product development cytotoxicity models cytotoxicity alternative methods replacements for animal testing three r's beagle tiered testing tiered testing strategy replacements animal testing mechanistic toxicity cornea mitochondria dose response threshold Vision Science and Biology

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