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 ...
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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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Add this copy of Introduction to Möbius Differential Geometry (London to cart. $45.12, very good condition, Sold by Fireside Bookshop rated 4.0 out of 5 stars, ships from Stroud, GLOUCESTERSHIRE, UNITED KINGDOM, published 2003 by Cambridge University Press.
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Very Good in No d/j as Published jacket. Size: 8vo-over 7¾"-9¾" tall; Type: Book N.B. Small plain label to inside front cover. Light rubbing to edges and corners of covers and spine.
Add this copy of Introduction to M�Ͽ½Bius Differential Geometry to cart. $65.55, like new condition, Sold by Prior Books rated 5.0 out of 5 stars, ships from Cheltenham, GLOUCESTERSHIRE, UNITED KINGDOM, published 2003 by Cambridge University Press.
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Like New. Firm and square with sharp corners, just a few very minor rubs. Hence a non-text page is stamped 'damaged'. Despite such this book is actually in nearly new condition. Thus the contents are crisp, fresh and tight. And so it's now offered for sale at a very reasonable price.
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New. Trade paperback (US). Contains: Line drawings. London Mathematical Society Lecture Note Series . 36 b/w illus. Intended for professional and scholarly audience.
Add this copy of Introduction to Möbius Differential Geometry (London to cart. $92.29, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2003 by Cambridge University Press.
Add this copy of Introduction to Moebius Differential Geometry to cart. $104.42, new condition, Sold by Ria Christie Books rated 5.0 out of 5 stars, ships from Uxbridge, MIDDLESEX, UNITED KINGDOM, published 2003 by Cambridge University Press.
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New. Trade paperback (US). 428 p. London Mathematical Society Lecture Note Series . 36 Line drawings, unspecified. Intended for professional and scholarly audience.
Add this copy of Introduction to Möbius Differential Geometry to cart. $109.90, new condition, Sold by Revaluation Books rated 4.0 out of 5 stars, ships from Exeter, DEVON, UNITED KINGDOM, published 2003 by Cambridge Univ Pr.
Add this copy of Introduction to Möbius Differential Geometry to cart. $111.46, new condition, Sold by Booksplease rated 4.0 out of 5 stars, ships from Southport, MERSEYSIDE, UNITED KINGDOM, published 2003 by Cambridge University Press.
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New. Trade paperback (US). Contains: Line drawings. London Mathematical Society Lecture Note Series . 36 b/w illus. Intended for professional and scholarly audience.
Add this copy of Introduction to Möbius Differential Geometry (London to cart. $132.54, new condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Newport Coast, CA, UNITED STATES, published 2003 by Cambridge University Press.
