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

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

2001-7

312

$ 150.29

Cambridge Tracts in Mathematics

9780521773119

图书标签: 数学

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发表于2024-12-29

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

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

图书描述

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.

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