7 Harmonic Maps and Surface Ricci Flow

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Computational Conformal Geometry 作者：丘成桐、顾险峰　　 ISBN：978-7-04-023189-2　出版时间：2007-12-05

全书目录
本章目录

内封

版权

目录

前辅文

1 Introduction

Part I Theories

2 Homotopy Group

3 Homology and Cohomology

4 Exterior Differential Calculus

5 Differential Geometry of Surfaces

6 Riemann Surface

7 Harmonic Maps and Surface Ricci Flow

8 Geometric Structure

Part II Algorithms

9 Topological Algorithms

10 Algorithms for Harmonic Maps

11 Harmonic Forms and Holomorphic Forms

12 Discrete Ricci Flow

A Major Algorithms

B Acknowledgement

Reference

Index
- 7.1 Harmonic Maps of Surfaces
- 7.1.1 Harmonic Energy and Harmonic Maps
- 7.1.2 Harmonic Map Equation
- 7.1.3 Radó's Theorem
- 7.1.4 Hopf Differential
- 7.1.5 Complex Form
- 7.1.6 Bochner Formula
- 7.1.7 Existence and Regularity
- 7.1.8 Uniqueness
- 7.2 Surface Ricci Flow
- 7.2.1 Conformal Deformation
- 7.2.2 Surface Ricci Flow
- Problems

7 Harmonic Maps and Surface Ricci Flow

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