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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
11

Harmonic maps in Kähler geometry

盧貴榮, Lo, Kwai-wing, Eric. January 1997 (has links)
published_or_final_version / Mathematics / Master / Master of Philosophy
12

Twist or theory of immersions of surfaces in four-dimensional spheres and hyperbolic spaces

Fawley, Helen Linda January 1997 (has links)
Let f : S → S(^4) be an immersion of a Riemann surface in the 4-sphere. The thesis begins with a study of the adapted moving frame of / in order to produce conditions for certain naturally defined lifts to SO(5)/U(2) and S0(5)T(^2) to be conformal, harmonic and holomorphic with respect to two different but naturally occuring almost complex structures. This approach brings together the results of a number of authors regarding lifts of conformal, minimal immersions including the link with solutions of the Toda equations. Moreover it is shown that parallel mean curvature immersions have haj-monic lifts into S0(5)/U(2).A certain natural lift of / into CP(^3), the twistor space of S(^4), is studied more carefully via an explicit description and in the case of / being a conformal immersion this gives a beautiful and simple formula for the lift in terms of a stereographic co-ordinate associated to /. This involves establishing explicitly the two-to-one correspondence between elements of the matrix groups Sp(2) and SO(5) and working with quaternions. The formula enables properties of such lifts to be explored and in particular it is shown that the harmonic sequence of a harmonic lift is either finite or satisfies a certain symmetry property. Uniqueness properties of harmonic lifts are also proved. Finally, the ideas are extended to the hyperbolic space H(^4) and after an exposition of the twistor fibration for this case, a method for constructing superminimal immersions of surfaces into H'^ from those in S"' is given.
13

Constructions of harmonic maps between Hadamard manifolds /

Ueno, Keisuke. January 2001 (has links)
Univ., Diss.--Sendai.
14

Harmonic maps in Kähler geometry /

Lo, Kwai-wing, Eric. January 1997 (has links)
Thesis (M. Phil.)--University of Hong Kong, 1997. / Includes bibliographical references (leaf 61-66).
15

Harmonic maps into trees and graphs analytical and numerical aspects /

Hesse, Martin, January 2005 (has links)
Thesis (doctoral)--Rheinische Friedrich-Wilhelms-Universität Bonn, 2004. / Includes bibliographical references (p. 98-100).
16

The higher flows of harmonic maps

Gagliardo, Michael Sebastian, January 1900 (has links)
Thesis (Ph. D.)--University of Texas at Austin, 2007. / Vita. Includes bibliographical references.
17

Group invariant solutions for the system of harmonic map equations.

January 2004 (has links)
Hung Ling Yan Lincoln. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2004. / Includes bibliographical references (leaves 87-88). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.5 / Chapter 2 --- Preliminary --- p.10 / Chapter 2.1 --- Background in geometry --- p.10 / Chapter 2.2 --- Background in harmonic maps --- p.12 / Chapter 3 --- Lie Point Transformations and Symmetries --- p.16 / Chapter 3.1 --- Definition of symmetries --- p.16 / Chapter 3.2 --- Determine the Lie point symmetries of partial differential equations --- p.25 / Chapter 3.2.1 --- Second order differential equations --- p.26 / Chapter 4 --- Similarity Variables --- p.30 / Chapter 4.1 --- "Similarity variables and group-invariant, solutions" --- p.30 / Chapter 4.2 --- Reduction of number of variables of the partial differential equations --- p.34 / Chapter 4.2.1 --- Determine the similarity variables --- p.34 / Chapter 4.2.2 --- Procedure to reduce the number of variables of a system of partial differential equations --- p.36 / Chapter 5 --- Group Invariant Harmonic Maps --- p.38 / Chapter 5.1 --- Determine the Lie point symmetries of the harmonic map equations --- p.39 / Chapter 5.2 --- Reduction of harmonic map equations to ordinary differ- ential equations --- p.54 / Chapter 5.3 --- Solving the harmonic map system which has been reduced to ordinary differential equations --- p.62 / Chapter 5.3.1 --- Case 1 of Theorem 5.2.1 --- p.62 / Chapter 5.3.2 --- Case 2 of Theorem 5.2.1 --- p.66 / Chapter 5.3.3 --- Case 3 of Theorem 5.2.1 --- p.75 / Bibliography --- p.87
18

Singular harmonic maps into hyperbolic spaces and applications to general relativity

Nguyen, Luc L. January 2009 (has links)
Thesis (Ph. D.)--Rutgers University, 2009. / "Graduate Program in Mathematics." Includes bibliographical references (p. 51-52).
19

Applications of harmonic mappings to rigidity problems /

Chan, Yat-ming, January 2002 (has links)
Thesis (M. Phil.)--University of Hong Kong, 2002. / Includes bibliographical references (leaves 112-116).
20

Applications of harmonic mappings to rigidity problems

Chan, Yat-ming, 陳一鳴 January 2002 (has links)
published_or_final_version / Mathematics / Master / Master of Philosophy

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