Or Ming-keung Ben. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2001. / Includes bibliographical references (leaves 75-78). / Abstracts in English and Chinese. / Chapter 0 --- Introduction --- p.3 / Chapter 1 --- CR manifolds --- p.6 / Chapter 1.1 --- Introduction to CR manifolds --- p.6 / Chapter 1.2 --- CR functions --- p.11 / Chapter 1.3 --- CR maps and imbedding of CR manifolds --- p.15 / Chapter 1.4 --- Non-degenerate CR structures --- p.19 / Chapter 1.5 --- CR structures by means of differential forms --- p.21 / Chapter 2 --- Segre Family --- p.25 / Chapter 2.1 --- The Segre family associated to a real analytic hyper- surface --- p.25 / Chapter 2.2 --- G-structures on Segre family --- p.30 / Chapter 2.3 --- Local Computations --- p.37 / Chapter 3 --- Projective Structure --- p.41 / Chapter 3.1 --- Construction of the frame bundle over Segre family 。 --- p.41 / Chapter 3.2 --- The associated Cartan Connection --- p.45 / Chapter 3.3 --- Formulation in terms of Projective Connection --- p.54 / Chapter 4 --- Riemann Mapping Theorem --- p.57 / Chapter 4.1 --- Preliminary --- p.57 / Chapter 4.2 --- Generalizations of Poincare's theorem --- p.59 / Chapter 4.3 --- Local G-stucture on the space of hyperplane elements --- p.62 / Chapter 4.4 --- Extension of induced G-structure --- p.66 / Chapter 4.5 --- Proof of Theorem B --- p.70 / Chapter 4.6 --- Domains with continuous boundary --- p.72 / Bibliography --- p.75
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_323434 |
| Date | January 2001 |
| Contributors | Or, Ming-keung Ben., Chinese University of Hong Kong Graduate School. Division of Mathematics. |
| Source Sets | The Chinese University of Hong Kong |
| Language | English, Chinese |
| Detected Language | English |
| Type | Text, bibliography |
| Format | print, 78 leaves ; 30 cm. |
| Rights | Use 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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