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Cartan's geometry on nondegenerate real hypersurfaces in Cn.

Lo, Chi Yu. / On t.p. "n" is a superscript. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2008. / Includes bibliographical references (leaves 92). / Abstracts in Chinese and English. / Chapter 0 --- Introduction --- p.5 / Chapter 1 --- "CR structures and the group SU(p, q)" --- p.7 / Chapter 1.1 --- Almost complex structure and CR manifolds --- p.7 / Chapter 1.2 --- Automorphism Groups of Ball and Polydisc --- p.17 / Chapter 1.3 --- "The group SU(p,q) and its Maurer Cartan form" --- p.24 / Chapter 2 --- Cartan´ةs construction on nondegenerate CR manifold --- p.33 / Chapter 2.1 --- A digression on the Frobenius Theorem and projective structure --- p.33 / Chapter 2.2 --- Cartan bundle and canonical forms --- p.45 / Chapter 2.3 --- Calculations of real hypersurface in C2 --- p.60 / Chapter 3 --- Geometric consequences and chain --- p.66 / Chapter 3.1 --- CR equivalence problem --- p.66 / Chapter 3.2 --- CR manifolds of dimension 3 --- p.71 / Chapter 3.3 --- Definition of chains --- p.78 / Chapter 3.4 --- Chains on a special kind of Reinhardt hyper surf ace in C2 --- p.87 / Bibliography --- p.92

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326356
Date January 2008
ContributorsLo, Chi Yu., Chinese University of Hong Kong Graduate School. Division of Mathematics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, 92 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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