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Variation of cycles in projective spaces.

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

Identiferoai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_325932
Date January 2007
ContributorsLau, Siu Cheong., Chinese University of Hong Kong Graduate School. Division of Mathematics.
Source SetsThe Chinese University of Hong Kong
LanguageEnglish, Chinese
Detected LanguageEnglish
TypeText, bibliography
Formatprint, 52 leaves ; 30 cm.
RightsUse 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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