Einstein-Hermitian structures on stable vector bundles.

Description

by Leung Wai-Man Raymond. / Thesis (M.Phil.)--Chinese University of Hong Kong, 1992. / Includes bibliographical references (leaves [1]-[3] (2nd gp.)). / Chapter CHAPTER 0 --- Introduction --- p.1 / Chapter CHAPTER 1 --- Einstein-Hermitian Vector Bundles / Chapter 1.1 --- Preliminaries on Einstein-Hermitian structures --- p.4 / Chapter 1.2 --- Conformal invariance --- p.7 / Chapter 1.3 --- A Chern number inequality --- p.9 / Chapter CHAPTER 2 --- Stable Vector Bundles / Chapter 2.1 --- Coherent analytic sheaves --- p.12 / Chapter 2.2 --- "Torsion-free, reflexive and normal coherent analytic sheaves" --- p.18 / Chapter 2.3 --- Determinant bundles --- p.22 / Chapter 2.4 --- Stable vector bundles --- p.27 / Chapter 2.5 --- Stability of Einstein-Hermitian vector bundles --- p.32 / Chapter CHAPTER 3 --- Existence of Einstein-Hermitian connection on stable vector bundle over a compact Riemann Surface --- p.34 / Chapter CHAPTER 4 --- Existence of Einstein-Hermitian metric on stable vector bundle over a projective algebraic manifold / Chapter 4.1 --- Solution of the evolution equation for finite time --- p.45 / Chapter 4.2 --- Convergence of solution for infinite time --- p.53 / APPENDIX / Chapter I. --- A vanishing theorem of Bochner type and its consequences --- p.67 / Chapter II. --- Uhlenbeck's results on connections with Lp bounds on curvature --- p.69 / REFERENCE

Links & Downloads

1. cuhk:318985
2. http://library.cuhk.edu.hk/record=b5886975
3. http://repository.lib.cuhk.edu.hk/en/item/cuhk-318985

Tags

Vector bundles

Four-manifolds (Topology)

Algebraic varieties

Additional Fields

Identifer	oai:union.ndltd.org:cuhk.edu.hk/oai:cuhk-dr:cuhk_318985
Date	January 1992
Contributors	Leung, Wai-Man Raymond., Chinese University of Hong Kong Graduate School. Division of Mathematics.
Publisher	Chinese University of Hong Kong
Source Sets	The Chinese University of Hong Kong
Language	English
Detected Language	English
Type	Text, bibliography
Format	print, 72, [3] 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/)