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Harmonic Maps between Riemannian Polyhedra on Hardback by J. Eells
Harmonic Maps between Riemannian Polyhedra on Hardback by J. Eells
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Harmonic Maps between Riemannian Polyhedra

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Description

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 30 years, and has significant applications throughout mathematics. This 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 authors set out much new material on harmonic maps between singular spaces for the first time in book form. The work will hence serve as a concise source for all researchers working in related fields.
Release date NZ
July 30th, 2001
Audience
  • Professional & Vocational
Contributor
  • Preface by M. Gromov
Pages
312
Dimensions
152x229x21
ISBN-13
9780521773119
Product ID
1771740

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