Introduction to Möbius Differential Geometry
Publisher: Cambridge University Press
Published: August 25, 2003
Language: eng
Format: Paperback
Number of pages: 426
ISBN-13: 9780521535694
Subjects: Differential & Riemannian geometry; Mathematics; Science/Mathematics; General; Geometry - Differential; Mathematics / Applied; Differential Geometry
First sentence: In P.8.1, we defined Mobius transformations as those transformations of (the conformal) Sn that preserve hyperspheres.
Description: 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.
Notes: London Mathematical Society Lecture Note Series