Introduction to Möbius differential geometry
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.
Read More ↓Title Statements
- Full title :Introduction to Möbius differential geometry / Udo Hertrich-Jeromin.
Summary
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.
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:xi, 413 pages : : illustrations ; : 23 cm
Edition Identifiers
- ISBN:0521535697, 9780521535694
- oclc:ocm51294113
- 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.
Read More ↓Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
Files & Downloads
-
Introduction to Moebius Differential Geometry -- …
DJVU · 4.3 MB · updated -
Introduction to Moebius differential geometry -- …
PDF · 3.4 MB · updated -
Introduction to Möbius differential geometry -- (…
PDF · 3.5 MB · updated
Rate & Review