| 书目名称 | Geometry of Harmonic Maps | | 编辑 | Yuanlong Xin | | 视频video | | | 丛书名称 | Progress in Nonlinear Differential Equations and Their Applications | | 图书封面 |  | | 描述 | Harmonic maps are solutions to a natural geometrical variational prob lem. This notion grew out of essential notions in differential geometry, such as geodesics, minimal surfaces and harmonic functions. Harmonic maps are also closely related to holomorphic maps in several complex variables, to the theory of stochastic processes, to nonlinear field theory in theoretical physics, and to the theory of liquid crystals in materials science. During the past thirty years this subject has been developed extensively. The monograph is by no means intended to give a complete description of the theory of harmonic maps. For example, the book excludes a large part of the theory of harmonic maps from 2-dimensional domains, where the methods are quite different from those discussed here. The first chapter consists of introductory material. Several equivalent definitions of harmonic maps are described, and interesting examples are presented. Various important properties and formulas are derived. Among them are Bochner-type formula for the energy density and the second varia tional formula. This chapter serves not only as a basis for the later chapters, but also as a brief introduction to the theo | | 出版日期 | Book 1996 | | 关键词 | Boundary value problem; Geometry; Maps; Minkowski space; cls; manifold; maximum principle; partial differen | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4612-4084-6 | | isbn_softcover | 978-1-4612-8644-8 | | isbn_ebook | 978-1-4612-4084-6Series ISSN 1421-1750 Series E-ISSN 2374-0280 | | issn_series | 1421-1750 | | copyright | Birkhäuser Boston 1996 |
The information of publication is updating
|
|
发表于 2025-3-21 17:17:59
