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

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Udo Hertrich-Jeromin

Cambridge University Press

2003-08-25

426

USD 62.00

Paperback

London Mathematical Society Lecture Note Series

9780521535694

图书标签: DifferentialGeometry

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发表于2024-09-26

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

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

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) 下载 mobi epub pdf txt 电子书