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Home > Education > Mathematics > Geometry - General > Geometry - Differential > Introduction to Möbius Differential Geometry-eBook
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Introduction to Möbius Differential Geometry
 
 
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Introduction to Möbius Differential Geometry
This book introduces the reader to the geometry of surfaces and submanifolds in the conformal n-sphere. Various models for M_bius 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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Title of ebook: Introduction to Möbius Differential Geometry
ISBN: 9780511059278
Publisher: Cambridge University Press
Internet download file size: 4516 kb
Pages: 426
Released online for download: 08-13-1999
Author of eBook: Hertrich-Jeromin, Udo
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  • Similar Titles For: Introduction to Möbius Differential Geometry

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