Lie Sphere Geometry - With Applications to Submanifolds (Paperback, 2nd ed. 2008)

Thomas Cecil is a math professor with an unrivalled grasp of Lie Sphere Geometry. Here, he provides a clear and comprehensive modern treatment of the subject, as well as its applications to the study of Euclidean submanifolds. It begins with the construction of the space of spheres, including the fundamental notions of oriented contact, parabolic pencils of spheres, and Lie sphere transformations. This new edition contains revised sections on taut submanifolds, compact proper Dupin submanifolds, reducible Dupin submanifolds, and the cyclides of Dupin. Completely new material on isoparametric hypersurfaces in spheres and Dupin hypersurfaces with three and four principal curvatures is also included. The author surveys the known results in these fields and indicates directions for further research and wider application of the methods of Lie sphere geometry.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Universitext
Release date:	November 2007
First published:	2008
Authors:	Thomas E. Cecil
Dimensions:	235 x 155 x 17mm (L x W x T)
Format:	Paperback
Pages:	208
Edition:	2nd ed. 2008
ISBN-13:	978-0-387-74655-5
Categories:	Books > Science & Mathematics > Mathematics > Geometry > Euclidean geometry Books > Science & Mathematics > Mathematics > Geometry > Algebraic geometry Books > Science & Mathematics > Mathematics > Topology > General
LSN:	0-387-74655-2
Barcode:	9780387746555

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