Harmonic Maps between Riemannian Polyhedra 2024 pdf epub mobi 电子书

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发表于2024-06-30

Harmonic Maps between Riemannian Polyhedra 2024 pdf epub mobi 电子书

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出版者:

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

出品人:

页数:312

译者:

出版时间:2001-7

价格:$ 150.29

装帧:

isbn号码:9780521773119

丛书系列:Cambridge Tracts in Mathematics

图书标签: 数学

Harmonic Maps between Riemannian Polyhedra 2024 pdf epub mobi 电子书图书描述

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 2024 pdf epub mobi 电子书

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