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Introduction to Moebius Differential Geometry

Language EnglishEnglish
Book Paperback
Book Introduction to Moebius Differential Geometry Udo Hertrich-Jerom
Libristo code: 04092538
Publishers Cambridge University Press, August 2003
This book introduces the reader to the geometry of surfaces and submanifolds in the conformal n-sphe... Full description
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101.78 €
199.07  лв
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This book introduces the reader to the geometry of surfaces and submanifolds in the conformal n-sphere. Various models for Möbius geometry are presented: the classical projective model, the quaternionic approach, and an approach that uses the Clifford algebra of the space of homogeneous coordinates of the classical model; the use of 2-by-2 matrices in this context is elaborated. For each model in turn applications are discussed. Topics comprise conformally flat hypersurfaces, isothermic surfaces and their transformation theory, Willmore surfaces, orthogonal systems and the Ribaucour transformation, as well as analogous discrete theories for isothermic surfaces and orthogonal systems. Certain relations with curved flats, a particular type of integrable system, are revealed. Thus this book will serve both as an introduction to newcomers (with background in Riemannian geometry and elementary differential geometry) and as a reference work for researchers.

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About the book

Full name Introduction to Moebius Differential Geometry
Author Udo Hertrich-Jerom
Language English
Binding Book - Paperback
Date of issue 2003
Number of pages 428
EAN 9780521535694
ISBN 0521535697
Libristo code 04092538
Publishers Cambridge University Press
Weight 582
Dimensions 152 x 229 x 24

Categories

Mathematics & Science > Mathematics > Geometry > Differential & Riemannian geometry
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