Harmonic Morphisms Between Riemannian Manifolds (London Mathematical Society Monographs #29) (Hardcover)

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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 concepts 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.
Product Details
ISBN: 9780198503620
ISBN-10: 0198503628
Publisher: Oxford University Press, USA
Publication Date: May 29th, 2003
Pages: 536
Language: English
Series: London Mathematical Society Monographs