Harmonic Maps Between Riemannian Polyhedra

Eells, James; Fuglede, Bent

ISBN 10: 0521773113 / ISBN 13: 9780521773119

Published by Cambridge University Press, Cambridge, 2001

About this Item

Hard cover, with unclipped dustacket, both in very good condition. From the collection of a London Professor of Mathematics, (ret'd.). General shelf and handling wear to DJ, including tanning to spine, and light creasing and wear to edges. Boards are in fine condition, pages tightly bound, content 'as unread'. CN.

Seller Inventory # 616110

Bibliographic Details

• Title: Harmonic Maps Between Riemannian Polyhedra
• Publisher: Cambridge University Press, Cambridge
• Publication Date: 2001
• Language: English
• ISBN 10: 0521773113
• ISBN 13: 9780521773119
• Binding: Hardcover
• Condition: Very Good
• Dust Jacket Condition: Very Good
• Seller catalogs:
  • Mathematics/Accounting

About this title

Synopsis

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.

Review

'This book can be highly recommended, both to specialists in the field, who will find a direct interest, and to geometers and analysts, who will find a source containing a large amount of material, with precise references. The organization of the chapters is excellent.' Luc Lemaire, Bulletin of the London Mathematical Society