ENGLISH

Harmonic morphisms between Riemannian manifolds

By Paul Baird , John C. Wood

Book information

Publisher
OUP
Year
2003
ISBN
9780198503620, 0198503628
LCC
QA169 .B32 2003
Open Library ID
OL3704103M
Language
english
Format
DJVU
Filesize
9 MB (9581684 bytes)
Series
London Mathematical Society Monographs New Series
Pages
534\534
Library
Kolxo3
DPI
600
Time added
2010-07-29 05:14:56

Description

This is the first account in book form of the theory of harmonic morphisms between Riemannian manifolds. Harmonic morphisms are maps which preserve Laplace's equation. They can be characterized as harmonic maps which satisfy an additional first order condition. Examples include harmonic functions, conformal mappings in the plane, and holomorphic functions with values in a Riemann surface. There are connections with many conepts in differential geometry, for example, Killing fields, geodesics, foliations, Clifford systems, twistor spaces, Hermitian structures, iso-parametric mappings, and Einstein metrics and also the Brownain pathpreserving maps of probability theory. Giving a complete account of the fundamental aspects of the subject, this book is self-contained, assuming only a basic knowledge of differential geometry.

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