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

Introduction to Möbius Differential Geometry (London Mathematical Society Lecture Note Series)
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简体网页||繁体网页
Udo Hertrich-Jeromin 作者
Cambridge University Press
译者
2003-08-25 出版日期
426 页数
USD 62.00 价格
Paperback
London Mathematical Society Lecture Note Series 丛书系列
9780521535694 图书编码

Introduction to Möbius Differential Geometry (London Mathematical Society Lecture Note Series) 在线电子书 图书标签: DifferentialGeometry   

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

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

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


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Introduction to Möbius Differential Geometry (London Mathematical Society Lecture Note Series) 在线电子书 著者简介

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Introduction to Möbius Differential Geometry (London Mathematical Society Lecture Note Series) 在线电子书 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.

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