Harmonic Morphisms Between Riemannian Manifolds

Paul Baird, John C. Wood

536 pages, parution le 08/04/2003

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Résumé

Self contained account of the subject written by internationally respected authors
First coherent account of the subject in book form
Contains several diagrams and is well referenced and indexed

This is a research monograph, providing the first account in book form of the theory of harmonic morphisms between Riemannian manifolds, an area of Differential Geometry which has connections with Harmonic Maps and Brownian Motion.

Readership: Graduate students and researchers of mathematics (differential geometry and Brownian Motion).

Contents

Basic Facts on Harmonic Morphisms

Complex-Valued Harmonic Morphisms on Three-Dimensional Euclidean Space
Riemannian Manifolds and Conformality
Harmonic Mappings Between Riemannian Manifolds
Fundamental Properties of Harmonic Morphisms
Harmonic Morphisms Defined by šPolynomials

Twistor Methods

Mini-Twistor Theory on Three-Dimensional Space-Forms
Twistor Methods
Holomorphic Harmonic Morphisms
Multivalued Harmonic Morphisms

Topological and Curvature considerations

Harmonic Morphisms From Compact 3-Manifolds
Curvature Considerations
Harmonic Morphisms With One-Dimensional Fibres
Reduction Techniques

Further Developments

Harmonic Morphisms Between Semi-Riemannian Manifolds

Appendix

Glossary of Notation

Bibliography

L'auteur - Paul Baird

Paul Baird, Professeur de Mathématiques, Université de Bretagne Occidentale, Brest.

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L'auteur - John C. Wood

John C. Wood, Professor of Pure Mathematics, University of Leeds.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Oxford University Press
Auteur(s)	Paul Baird, John C. Wood
Parution	08/04/2003
Nb. de pages	536
Format	16 x 24
Couverture	Relié
Poids	868g
Intérieur	Noir et Blanc
EAN13	9780198503620
ISBN13	978-0-19-850362-0