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Harmonic Maps between Riemannian Polyhedra 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Eells, James; Eells, J.; Fuglede, B. 作者

译者

2001-7 出版日期

312 页数

$ 150.29 价格

Cambridge Tracts in Mathematics 丛书系列

9780521773119 图书编码

Harmonic Maps between Riemannian Polyhedra 在线电子书图书标签: 数学

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Harmonic Maps between Riemannian Polyhedra 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Harmonic maps between smooth Riemannian manifolds play a ubiquitous role in differential geometry. Examples include geodesics viewed as maps, minimal surfaces, holomorphic maps and Abelian integrals viewed as maps to a circle. The theory of such maps has been extensively developed over the last 40 years, and has significant applications throughout mathematics. This 2001 book extends that theory in full detail to harmonic maps between broad classes of singular Riemannian polyhedra, with many examples being given. The analytical foundation is based on existence and regularity results which use the potential theory of Riemannian polyhedral domains viewed as Brelot harmonic spaces and geodesic space targets in the sense of Alexandrov and Busemann. The work sets out much material on harmonic maps between singular spaces and will hence serve as a concise source for all researchers working in related fields.

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