《調和映射中的精選論題（影印版）》是2019年高等教育出版社出版的圖書，作者是James Eells，Luc Lema。
基本介紹
- 中文名：調和映射中的精選論題（影印版）
- 作者：James Eells，Luc Lema
- 出版社：高等教育出版社
- 出版時間：2019年5月
- ISBN：9787040517279
內容簡介,目錄,
內容簡介
本書的*部分專門介紹了黎曼流形之間調和映射理論的各個方面。第二部分提出了一些尚未解決的問題，並給出一些評註和參考文獻，這些評註和參考文獻的難度差別很大。本書首次在定性層面闡述了調和映射。 The first part of the book is devoted to an account of various aspects of the theory of harmonic maps between Riemannian manifolds. The second part proposes certain unsolved problems, together with comments and references, which are of widely varying difficulty. This book presents the first printed exposition of the qualitative aspects of harmonic maps.
目錄
Introduction
Part I． Differential Geometric Aspects of Harmonic Maps
1．Operators on vector bundles
2．Harmonic maps
3．Some properties of harmonic maps
4．Second variation of the energy
5．Spheres and the behavior of the energy
6．The stress-energy tensor
7．Harmonic morphisms
8．Holomorphic and harmonic maps between almost Kader manifolds
9．Properties of harmonic maps between Kahler manifolds
Part II． Problems Relating to Harmonic Maps
1．Existence of harmonic maps
2．Regularity problems
3．Holomorphic and conformal maps
4．Construction/classification of harmonic maps
5．Properties of harmonic maps
6．Spaces of maps
7．Noncompact domains
8．Variations on a theme
Bibliography for Part I
Supplementary bibliography for Part II
