Chao, Khek Lun Harold. / On t.p. "n" is superscript. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2007. / Includes bibliographical references (leaves 67-68). / Abstracts in English and Chinese. / Chapter 1 --- Overview --- p.6 / Chapter 1.1 --- Introduction --- p.6 / Chapter 1.2 --- Domain of holomorphy --- p.7 / Chapter 1.3 --- Strongly pseudoconvex domains --- p.7 / Chapter 1.4 --- Geometry on the boundary --- p.10 / Chapter 1.5 --- Geometry in the interior --- p.12 / Chapter 1.6 --- Outline of the thesis --- p.13 / Chapter 2 --- Kahler-Einstein metric --- p.14 / Chapter 2.1 --- Problem --- p.14 / Chapter 2.2 --- Analysis of the domain --- p.15 / Chapter 2.3 --- Proof of openness --- p.23 / Chapter 2.4 --- Proof of closedness --- p.25 / Chapter 2.5 --- Uniqueness of solution --- p.33 / Chapter 2.6 --- Boundary behavior of the metric --- p.36 / Chapter 3 --- Boundary geometry of pseudo convex domains --- p.45 / Chapter 3.1 --- Background --- p.45 / Chapter 3.2 --- Monge-Ampere equation --- p.46 / Chapter 3.3 --- Differential geometry on the boundary --- p.51 / Chapter 3.4 --- Explicit calculation of the metric --- p.54 / Chapter 3.5 --- An example of spiralling chains --- p.63 / Bibliography --- p.67
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_326062 |
| Date | January 2007 |
| Contributors | Chao, Khek Lun Harold, 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, 68 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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