Introduction to Moebius Differential Geometry

Name: Introduction to Moebius Differential Geometry
Brand: Cambridge University Press
SKU: 9780521535694
Price: 2231 CZK
Availability: InStock

Autor: Udo Hertrich-Jerom

Jazyk:

Vazba: Brožovaná

Vydavatel: Cambridge University Press

Dostupnost: Skladem u dodavatele

Odesíláme za 14-21 dnů

2 231 Kč

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

Informace o knize

Autor

Udo Hertrich-Jerom

Jazyk

Angličtina

Vazba

Kniha - Brožovaná

Vydáno

2003

Stránek

428

EAN

9780521535694

ISBN

0521535697

Enbook ID

04092538

Vydavatel

Cambridge University Press

Hmotnost

582

Rozměry

152 x 229 x 24

Kompletní 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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