Udo Hertrich-Jeromin

Introduction to Mobius Differential Geometry

• Broschiertes Buch

Produktbeschreibung

This introduction to the conformal differential geometry of surfaces and submanifolds covers those aspects of the geometry of surfaces that only refer to an angle measurement, but not to a length measurement. Different methods (models) are presented for analysis and computation. Various applications to areas of current research are discussed, including discrete net theory and certain relations between differential geometry and integrable systems theory.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 428
• Erscheinungstermin: 1. August 2003
• Englisch
• Abmessung: 229mm x 152mm x 25mm
• Gewicht: 691g
• ISBN-13: 9780521535694
• ISBN-10: 0521535697
• Artikelnr.: 21017463

Inhaltsangabe

Introduction
0. Preliminaries: the Riemannian point of view
1. The projective model
2. Application: conformally flat hypersurfaces
3. Application: isothermic and Willmore surfaces
4. A quaternionic model
5. Application: smooth and discrete isothermic surfaces
6. A Clifford algebra model
7. A Clifford algebra model
Vahlen matrices
8. Applications: orthogonal systems, isothermic surfaces
Conclusion.