| Harmonic Morphisms Between Riemannian Manifolds Contributor(s): Baird, Paul (Author), Wood, John C. (Author) |
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ISBN: 0198503628 ISBN-13: 9780198503620 Publisher: Oxford University Press, USA OUR PRICE: $209.00 Product Type: Hardcover - Other Formats Published: May 2003 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Mathematics | Geometry - Analytic - Mathematics | Geometry - Non-euclidean |
| Dewey: 516.373 |
| LCCN: 2003271824 |
| Physical Information: 1.28" H x 6.24" W x 9.38" (1.92 lbs) 536 pages |
| Descriptions, Reviews, Etc. |
| Publisher 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. |