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Harmonic maps into singular spaces and Euclidean buildings.

by Lam Kwan Hang. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2001. / Includes bibliographical references (leaves 75-76). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.5 / Chapter 2 --- Maps into locally compact Riemannian complex --- p.8 / Chapter 2.1 --- Exitsence of energy minimizing maps --- p.8 / Chapter 2.2 --- Length minimizing curves --- p.10 / Chapter 3 --- Harmonic maps into nonpositively curved spaces --- p.13 / Chapter 3.1 --- Nonpositively curved spaces --- p.13 / Chapter 3.2 --- Properties of the distance function --- p.16 / Chapter 4 --- Basic properties of harmonic maps into NPC spaces --- p.21 / Chapter 4.1 --- Monotonicity formula --- p.21 / Chapter 4.2 --- Approximately differentiable maps --- p.24 / Chapter 4.3 --- Local properties of harmonic maps --- p.28 / Chapter 5 --- Existence and uniqueness of harmonic maps in a ho- motopy class --- p.33 / Chapter 5.1 --- Convexity properties of the energy functional --- p.33 / Chapter 5.2 --- Existence and Uniqueness Theorem --- p.37 / Chapter 6 --- Homogeneous approximating maps --- p.40 / Chapter 6.1 --- Regular homogeneous map --- p.40 / Chapter 6.2 --- Homogeneous approximating map --- p.46 / Chapter 7 --- More results on regularity --- p.52 / Chapter 7.1 --- Intrinsically differentiable maps --- p.52 / Chapter 7.2 --- Good homogeneous approximating map --- p.62 / Chapter 8 --- Harmonic maps into building-like complexes --- p.65 / Chapter 8.1 --- F-connected complex --- p.65 / Chapter 8.2 --- Regularity and the Bochner technique --- p.66 / Bibliography --- p.75

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_323512
Date January 2001
ContributorsLam, Kwan Hang., Chinese University of Hong Kong Graduate School. Division of Mathematics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, 76 leaves : ill. ; 30 cm.
RightsUse of this resource is governed by the terms and conditions of the Creative Commons “Attribution-NonCommercial-NoDerivatives 4.0 International” License (http://creativecommons.org/licenses/by-nc-nd/4.0/)

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