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Harmonic Morphisms Between Riemannian Manifolds (London Mathematical Society Monographs (0-19-961197-1)) Book

Harmonic Morphisms Between Riemannian Manifolds : Hardback : Oxford University Press : 9780198503620 : 0198503628 : 29 May 2003 : Presents an account of the theory of harmonic morphisms between Riemannian manifolds. This text is suitable for a beginning graduate student interested in harmonic maps and morphisms, or related subjects. Examples include harmonic functions, conformal mappings in the plane, and holomorphic functions with values in a Riemann surface.Read More

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Product 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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Harmonic Morphisms Between Riemannian Manifolds (London Mathematical Society Monographs (0-19-961197-1)) Book

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