The classification of isoparametric hypersurfaces in spheres with a homogeneous focal manifold is a project that has been started by Linus Kramer. It extends results by E. Cartan and Hsiang and Lawson. Kramer does most part of this classification in his Habilitationsschrift. In particular he obtains a classification for the cases where the homogeneous focal manifold is at least 2-connected. Results of E. Cartan, Dorfmeister and Neher, and Takagi also solve parts of the classification problem. This thesis completes the classification. We classify all closed isoparametric hypersurfaces in spheres with g>2 distinct principal curvatures one of whose multiplicities is 2 such that the lower dimensional focal manifold is homogeneous. The methods are essentially the same as in Kramer's 'Habilitationsschrift'. The cohomology of the focal manifolds in question is known. This leads to two topological classification problems, which are also solved in this thesis. We classify simply connected homogeneous spaces of compact Lie groups with the same integral cohomology ring as a product of spheres S^2 x S^m and m odd on the one hand and a truncated polynomial ring Q[a]/(a^m) with one generator of even degree and m > 1 as its rational cohomology ring on the other hand. / Die Klassifikation der isoparametrischen Hyperflächen mit einer homogenen Fokalmannigfaltigkeit ist ein Projekt, das von Linus Kramer initiiert wurde. Es verallgemeinert Ergebnisse von E. Cartan und von Hsiang und Lawson. Kramer vollzieht den Großteil dieser Klassifikation in seiner Habilitationsschrift. Genauer gesagt, erhält er eine Klassifikation für die Fälle, in denen die homogene Fokalmannigfaltigkeit mindestens 2-zusammenhängend ist. Ergebnisse von E. Cartan, von Dorfmeister und Neher und von Takagi lösen ebenfalls Teile des Problems. Diese Dissertation schließt die Klassifikation ab. Wir klassifizieren alle abgeschlossenen isoparametrischen Hyperflächen in Sphären mit g>2 verschiedenen Hauptkrümmungen, deren eine Vielfachheit 2 ist, wobei die der Dimension nach kleinere Fokalmannigfaltigkeit homogen ist. Die Methoden sind im Wesentlichen die gleichen wie in Kramers Habilitationsschrift. Die Kohomologie der fraglichen Fokalmannigfaltigkeiten ist bekannt. Dies führt zu zwei topologischen Klassifikationsproblemen, die ebenfalls in dieser Dissertation gelöst werden. Wir klassifizieren einfach zusammenhängende homogene Räume kompakter Lie-Gruppen, welche einerseits den gleichen ganzzahligen Kohomologiering haben wie ein Sphären-Produkt S^2 x S^m, m ungerade, oder andererseits einen abgeschnittenen Polynomring Q[a]/(a^m) in einem Erzeuger von geradem Grad und m>1 als Kohomologiering haben.

Zugl.: Witten, Herdecke, Universiẗat, Diss., 2006. / Includes bibliographical references (p. 279-287).

Zugl.: Berlin, Humboldt-Univ., Diss., 2006

Diss.--Mathematik--Chemnitz--Technische Universität, 1998. / Bibliogr. p. 103-105.

No description available.

<p>The period following the Second World War in Austria represents a unique historical situation. On the one hand, strongly conservative and restaurative trends in politics, publications, media, and social life dominated the country - at the same time, a radically new avant-garde movement emerged. What today is collectively referred to as the Wiener Gruppe was, in the 1950s, a circle of young writers, connected by friendship and collaboration with the filmmakers Kurt Kren and Peter Kubelka. These artists created experimental works that pre-empt the concept of performance art established at a theoretical level two decades later, and anticipate the re-conceptualization of the role of the reader theorized by Roland Barthes and Michel Foucault in the 1960s. </p><p>In this dissertation, I outline the socio-political situation in Austria during the years following World War Two in Chapter One and discuss the key concepts and works which are relevant for the understanding of experimental literature and film in Chapter Two and Three. I demonstrate that the radical experimentation of postwar experimental authors and filmmakers draws attention to the materiality, visuality, and performativity of their works and establishes experimental literature and film as individual art forms: writing-as-writing and film-as-film. In conclusion, I argue that their works represent an implicit critique of language, culture, and society in the context of the "grand narratives" or the "invisible structurations" supporting a post-World War Two Austrian society.</p><p>In this dissertation, I will outline the socio-political situation in Austria during the years following World War Two in Chapter One, and discuss the key concepts which are relevant for the understanding of experimental literature in Chapter Two and Three. I will demonstrate that the radical experimentation of postwar experimental authors and filmmakers draws attention to the materiality, visuality, and performativity and establishes experimental literature and film as individual art forms: writing-as-writing and film-as-film. In conclusion, I argue that their works represent an implicit critique of language, culture, and society in the context of the "grand narratives," the "invisible structurations" which support society.</p> / Dissertation

Originally presented as the author's thesis: Universität Genf, 2006. / Includes bibliographical references.

Thesis (doctoral)--University of St. Gallen, 2007.

Techn. Universiẗat, Diss., 2007--Darmstadt.

Zugl.: Tübingen, University, Diss., 2006.