Lau, Siu Cheong. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2007. / Includes bibliographical references (leaves 51-52). / Abstracts in English and Chinese. / Chapter 1 --- In search of minimal cycles --- p.9 / Chapter 1.1 --- What do we mean by cycles? --- p.9 / Chapter 1.2 --- Integral currents --- p.10 / Chapter 1.3 --- Calibration theory --- p.13 / Chapter 2 --- Motivation from the Hodge Conjecture --- p.17 / Chapter 2.1 --- Hodge theory on Riemannian manifolds --- p.17 / Chapter 2.2 --- Hodge decomposition in Kahler manifolds --- p.19 / Chapter 2.3 --- The Hodge conjecture --- p.22 / Chapter 3 --- Variation of cycles in symmetric orbit --- p.26 / Chapter 3.1 --- Variational formulae --- p.26 / Chapter 3.2 --- Stability of cycles in Sm and CPn --- p.29 / Chapter 3.3 --- Symmetric orbit in Euclidean space --- p.31 / Chapter 3.4 --- Projective spaces in simple Jordan algebra --- p.39 / Chapter 3.4.1 --- Introduction to simple Jordan algebra --- p.39 / Chapter 3.4.2 --- Projective spaces as symmetric orbits --- p.41 / Chapter 3.4.3 --- Computation of second fundamental form --- p.43 / Chapter 3.4.4 --- The main theorem --- p.45 / Chapter 3.5 --- Future directions --- p.49 / Bibliography --- p.51
| Identifer | oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_325932 |
| Date | January 2007 |
| Contributors | Lau, Siu Cheong., 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, 52 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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