by Wong Wai Keung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1998. / Includes bibliographical references (leaves 101-[102]). / Abstract also in Chinese. / Introduction --- p.1 / Chapter 1 --- CR Manifolds --- p.3 / Chapter 1.1 --- Abstract CR manifolds --- p.3 / Chapter 1.2 --- Embedded CR manifolds --- p.4 / Chapter 1.3 --- A normal form for generic embedded CR manifolds --- p.9 / Chapter 2 --- Differential Geometry of Strongly Pseudo-convex Manifolds --- p.18 / Chapter 2.1 --- Holomorphic vector bundles --- p.18 / Chapter 2.2 --- The cohomology groups Hq(M，E) --- p.20 / Chapter 2.3 --- "The spectral sequence {Erp,q(M)}" --- p.23 / Chapter 2.4 --- The Levi form --- p.31 / Chapter 2.5 --- Strongly pseudo-convex manifolds --- p.37 / Chapter 2.6 --- Strongly pseudo-convex real hypersurfaces --- p.40 / Chapter 2.7 --- Canonical affine connections --- p.44 / Chapter 2.8 --- Green's Theorem --- p.51 / Chapter 2.9 --- Canonical connections in holomorphic vector bundles --- p.53 / Chapter 3 --- The Harmonic Theory --- p.59 / Chapter 3.1 --- The fundamental operators --- p.59 / Chapter 3.2 --- The fundamental inequalities --- p.65 / Chapter 3.3 --- Kohn's harmonic theory --- p.67 / Chapter 3.4 --- The harmonic theory and the duality --- p.71 / Chapter 4 --- The Holomorphic Extension of CR Functions --- p.76 / Chapter 4.1 --- Approximation theorem --- p.76 / Chapter 4.2 --- The technique of analytic discs --- p.81 / Chapter 4.3 --- Holomorphic extension --- p.95 / Bibliography --- p.101
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_322344 |
| Date | January 1998 |
| Contributors | Wong, Wai Keung., 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, i, 101, [1] leaves : ill. ; 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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