Introduction to Möbius differential geometry
An introduction to the conformal differential geometry of surfaces and submanifolds. The book discusses those aspects of the geometry of surfaces that only refer to an angle measurement but not to a length measurement. The book presents different methods (models) for thinking about geometry and performing computations.
Read More ↓Title Statements
- Full title :Introduction to Möbius differential geometry / Udo Hertrich-Jeromin.
Summary
An introduction to the conformal differential geometry of surfaces and submanifolds. The book discusses those aspects of the geometry of surfaces that only refer to an angle measurement but not to a length measurement. The book presents different methods (models) for thinking about geometry and performing computations.
Read More ↓Edition Statements
- Publication Date:2003.
Publication Statements
- Publisher(s):Cambridge University Press
- Place of Publication:Cambridge
- Language:eng
- Publication Date:2003.
The Physical Object
- Description:1 online resource (xi, 413 pages) : : illustrations
Edition Identifiers
- ISBN:0511065582, 9780511065583, 0511067712, 9780511067716, 9780511546693, 0511546696, 9780511546693
- oclc:ocm57300164
- LC Classification:QA609
- Dewey Decimal:516.3/6
Table of Contents
Preliminaries: the Riemannian point of view -- The projective model -- Application: conformally flat hypersurfaces -- Application: isothermic and Willmore surfaces -- A quaternionic model -- Application: smooth and discrete isothermic surfaces -- Clifford algebra model -- A Clifford algebra model: Vahlen matrices -- Applications: orthogonal systems, isothermic surfaces.
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