Ng Wai Man. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2006. / Includes bibliographical references (leaves 87-88). / Abstracts in English and Chinese. / Chapter 1 --- Introduction --- p.1 / Chapter 2 --- Infinitesimal Deformations for Compact Complex Manifolds --- p.4 / Chapter 2.1 --- Differentiable Family --- p.4 / Chapter 2.2 --- Local Triviality --- p.7 / Chapter 2.3 --- Complex Analytic Family and Deformations --- p.10 / Chapter 3 --- Existence Theorem --- p.15 / Chapter 3.1 --- Obstructions as a Necessary Condition --- p.15 / Chapter 3.2 --- The Existence Theorem --- p.16 / Chapter 3.3 --- Convergence Proof --- p.21 / Chapter 4 --- Completeness Theorem --- p.26 / Chapter 4.1 --- The Completeness Theorem --- p.26 / Chapter 4.2 --- Construction of Formal Power Series --- p.28 / Chapter 4.3 --- Convergence Proof --- p.32 / Chapter 4.4 --- Effective Parameters and Number of Moduli --- p.36 / Chapter 4.5 --- Examples --- p.40 / Chapter 5 --- CR Manifolds and Deformations --- p.42 / Chapter 5.1 --- CR Submanifolds and Tangential Complex --- p.42 / Chapter 5.2 --- Abstract CR Manifolds and its Cohomologies --- p.47 / Chapter 5.3 --- Strongly Pseudoconvex Manifolds --- p.51 / Chapter 5.4 --- Differentiable Family --- p.53 / Chapter 6 --- Stability Theorems --- p.55 / Chapter 6.1 --- Semi-continuity Theorem --- p.56 / Chapter 6.1.1 --- The Case of Compact Complex Manifolds --- p.56 / Chapter 6.1.2 --- The s.p.c. Compact CR Case --- p.63 / Chapter 6.2 --- Other Stability Theorems for Complex Manifolds --- p.66 / Chapter A --- The Complex Laplacian ´بa --- p.72 / Chapter B --- Hodge-Dolbeault Theorem --- p.77 / Chapter C --- Proof of Theorem 6.2 --- p.79 / Chapter D --- Subelliptic Estimates of --- p.82 / Bibliography --- p.87
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_325811 |
| Date | January 2006 |
| Contributors | Ng, Wai Man., 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, v, 88 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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