Lie Sphere Geometry With Applications to Submanifolds /

• Main Author: Cecil, Thomas E. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2008.
• Subjects: Mathematics.; Algebraic geometry.; Differential geometry.; Manifolds (Mathematics).; Complex manifolds.; Differential Geometry.; Algebraic Geometry.; Manifolds and Cell Complexes (incl. Diff.Topology).

This book provides a clear and comprehensive modern treatment of Lie sphere geometry and 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 sphe...

Table of Contents:

• Lie Sphere Geometry
• Lie Sphere Transformations
• Legendre Submanifolds
• Dupin Submanifolds.