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Introduction to Möbius Differential Geometry (London Mathematical Society Lecture Note Series) 2024 pdf epub mobi 电子书

Introduction to Möbius Differential Geometry (London Mathematical Society Lecture Note Series)
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发表于2024-11-08

Introduction to Möbius Differential Geometry (London Mathematical Society Lecture Note Series) 2024 pdf epub mobi 电子书

Introduction to Möbius Differential Geometry (London Mathematical Society Lecture Note Series) 2024 pdf epub mobi 电子书

Introduction to Möbius Differential Geometry (London Mathematical Society Lecture Note Series) 2024 pdf epub mobi 电子书


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出版者:Cambridge University Press
作者:Udo Hertrich-Jeromin
出品人:
页数:426
译者:
出版时间:2003-08-25
价格:USD 62.00
装帧:Paperback
isbn号码:9780521535694
丛书系列:London Mathematical Society Lecture Note Series

图书标签: DifferentialGeometry   

Introduction to Möbius Differential Geometry (London Mathematical Society Lecture Note Series) 2024 pdf epub mobi 电子书 图书描述

This book introduces the reader to the geometry of surfaces and submanifolds in the conformal n-sphere. Various models for Mobius 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.

Introduction to Möbius Differential Geometry (London Mathematical Society Lecture Note Series) 2024 pdf epub mobi 电子书
Introduction to Möbius Differential Geometry (London Mathematical Society Lecture Note Series) 2024 pdf epub mobi 电子书
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Introduction to Möbius Differential Geometry (London Mathematical Society Lecture Note Series) 2024 pdf epub mobi 电子书

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