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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Lie Sphere Geometry: With Applications to Submanifolds

Lie Sphere Geometry: With Applications to Submanifolds

Cecil, Thomas E.

Paperback

Series: Universitext

General MathematicsGeometry

ISBN10: 0387746552
ISBN13: 9780387746555
Publisher: Springer Nature
Published: Nov 26 2007
Pages: 208
Weight: 0.83
Height: 0.50 Width: 6.33 Depth: 9.22
Language: English

This book provides a modern treatment of Lie's geometry of spheres, its applications and the study of Euclidean space. It begins with Lie's construction of the space of spheres, including the fundamental notions of oriented contact, parabolic pencils of spheres and Lie sphere transformation. The link with Euclidean submanifold theory is established via the Legendre map. This provides a powerful framework for the study of submanifolds, especially those characterized by restrictions on their curvature spheres. This new edition contains revised sections on taut submanifolds, compact proper Dupin submanifolds, reducible Dupin submanifolds, Lie frames and frame reductions. Completely new material on isoparametric hyperspaces in spheres, Dupin hyperspaces with three and four principle curvatures is also included.

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