Harmonic Maps between Riemannian Polyhedra
$142.00 (C)
Part of Cambridge Tracts in Mathematics
- Authors:
- J. Eells, University of Cambridge
- B. Fuglede, University of Copenhagen
- Date Published: July 2001
- availability: Available
- format: Hardback
- isbn: 9780521773119
$
142.00
(C)
Hardback
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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.
Read more- Written by leading researchers
- Presents new material which has never before been brought together in book form
- Unique treatment - there are no directly comparable books on the subject
Reviews & endorsements
'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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×Product details
- Date Published: July 2001
- format: Hardback
- isbn: 9780521773119
- length: 312 pages
- dimensions: 229 x 152 x 21 mm
- weight: 0.63kg
- availability: Available
Table of Contents
Gromov's preface
Preface
1. Introduction
Part I. Domains, Targets, Examples:
2. Harmonic spaces, Dirichlet spaces and geodesic spaces
3. Examples of domains and targets
4. Riemannian polyhedra
Part II. Potential Theory on Polyhedra:
5. The Sobolev space W1,2(X). Weakly harmonic functions
6. Harnack inequality and Hölder continuity for weakly harmonic functions
7. Potential theory on Riemannian polyhedra
8. Examples of Riemannian polyhedra and related spaces
Part III. Maps between Polyhedra:
9. Energy of maps
10. Hölder continuity of energy minimizers
11. Existence of energy minimizers
12. Harmonic maps - totally geodesic maps
13. Harmonic morphisms
14. Appendix A. Energy according to Korevaar-Schoen
15. Appendix B. Minimizers with small energy decay
Bibliography
Special symbols
Index.
Related Books
related journals
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