Introduction to Moebius Differential Geometry

Name: Introduction to Moebius Differential Geometry
Brand: Cambridge University Press
SKU: 9780521535694
Price: 92.19 EUR
Availability: InStock

Autor: Udo Hertrich-Jerom

Jazyk:

Väzba: Brožovaná

Vydavateľ: Cambridge University Press

Dostupnosť: Skladom u dodávateľa

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92.19 €

This book introduces the reader to the geometry of surfaces and submanifolds in the conformal n-sphe...

Informácie o knihe

Autor

Udo Hertrich-Jerom

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2003

Stránok

428

EAN

9780521535694

ISBN

0521535697

Enbook ID

04092538

Vydavateľ

Cambridge University Press

Hmotnosť

582

Rozmery

152 x 229 x 24

Kompletný popis

This book introduces the reader to the geometry of surfaces and submanifolds in the conformal n-sphere. Various models for Möbius 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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Introduction to Moebius Differential Geometry

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