作者：JamesEells，LucLema
页数：100
出版社：高等教育出版社
出版日期：2019
ISBN：9787040517279
电子书格式：pdf/epub/txt
内容简介
本书的第一部分专门介绍了黎曼流形之间调和映射理论的各个方面。第二部分提出了一些尚未解决的问题，并给出一些评注和参考文献，这些评注和参考文献的难度差别很大。本书首次在定性层面阐述了调和映射。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.
本书特色
本书的最部分专门介绍了黎曼流形之间调和映射理论的各个方面。第二部分提出了一些尚未解决的问题，并给出一些评注和参考文献，这些评注和参考文献的难度差别很大。本书首次在定性层面阐述了调和映射。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.
目录
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
