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Harmonic Maps between Riemannian Polyhedra (Cambridge Tracts in Mathematics, Series Number 142) - Hardcover

 
9780521773119: Harmonic Maps between Riemannian Polyhedra (Cambridge Tracts in Mathematics, Series Number 142)

Synopsis

This research-level monograph on harmonic maps between singular spaces sets out much new material on the theory, bringing all the research together for the first time in one place. Riemannian polyhedra are a class of such spaces that are especially suitable to serve as the domain of definition for harmonic maps. Their properties are considered in detail, with many examples being given, and potential theory on Riemmanian polyhedra is also considered. The work will serve as a concise source and reference for all researchers working in this field or a similar one.

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Book Description

This is a research-level monograph on harmonic maps between singular spaces. The theory of harmonic maps between spaces without singularities has many important applications throughout mathematics. In this book, the authors set out much new material on harmonic maps between singular spaces for the first time in one place, considering in particular the case of Riemannian polyhedra, the properties of which are especially suitable for this. The work will serve as a concise source and reference for all researchers working in this field or a similar one.

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

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Eells, James and Bent Fuglede:
Published by Cambridge University Press, 2001
ISBN 10: 0521773113 ISBN 13: 9780521773119
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Hardcover. Condition: Very Good. Series: Cambridge Tracts in Mathematics. xii 296p hardback, navy cloth with gilt lettering and sky-blue jacket, very good condition, light wear to jacket edges and flaps, boards and binding like new, pages very clean and neat, text and mathematical notation all very clear and sharp, a very good copy Language: English. Seller Inventory # 168758

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Eells, J.
Published by Cambridge University Press, 2001
ISBN 10: 0521773113 ISBN 13: 9780521773119
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Condition: Good. Volume 142. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. No dust jacket. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,600grams, ISBN:0521773113. Seller Inventory # 5763717

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J. Eells; B. Fuglede
Published by Cambridge University Press, 2001
ISBN 10: 0521773113 ISBN 13: 9780521773119
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Cloth. Condition: Very Good. Dust Jacket Condition: Very Good. Type: Book N.B. Small plain label to ffep. Rubbing to edges and corners of D/J. (MATHEMATICS). Seller Inventory # 300475

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Hardcover. Condition: Very Good. Dust Jacket Condition: Very Good. 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

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Hardcover. Condition: new. Hardcover. 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. This research-level monograph on harmonic maps between singular spaces sets out much new material on the theory, bringing all the research together for the first time in one place. Riemannian polyhedra are a class of such spaces that are especially suitable to serve as the domain of definition for harmonic maps. Their properties are considered in detail, with many examples being given, and potential theory on Riemmanian polyhedra is also considered. The work will serve as a concise source and reference for all researchers working in this field or a similar one. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521773119

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