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Polynomial growth harmonic diffeomorphisms from complex plane into hyperbolic plane.

Chan Mei Shan. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2001. / Includes bibliographical references (leaves 74-76). / Abstracts in English and Chinese. / Chapter 0 --- Introduction --- p.1 / Chapter 1 --- Preliminary --- p.9 / Chapter 1.1 --- Harmonic maps between Riemann Surfaces --- p.9 / Chapter 1.2 --- "Minkowski 3-spaces, M21" --- p.17 / Chapter 1.3 --- Preliminaries from analysis --- p.21 / Chapter 2 --- Holomorphic quadratic differentials --- p.27 / Chapter 2.1 --- Solution on the Poincare disk D --- p.28 / Chapter 2.2 --- Solution on the complex plane C --- p.37 / Chapter 3 --- Harmonic Diffeomorphisms into H2 --- p.46 / Chapter 3.1 --- The case from D onto D --- p.46 / Chapter 3.2 --- Open harmonic embeddings from C into H --- p.53 / Chapter 4 --- Open harmonic embeddings with polynomial Hopf differentials --- p.57 / Chapter 4.1 --- Proof of the theorem --- p.58 / Chapter 4.2 --- Open harmonic embeddings on C with fixed ideal polygonal images in H2 --- p.65 / Bibliography --- p.74

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_323468
Date January 2001
ContributorsChan, Mei Shan., Chinese University of Hong Kong Graduate School. Division of Mathematics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, vi, 76 leaves ; 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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