LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	516.36
Title	Lie Sphere Geometry ([EBook] :) : With Applications to Submanifolds / / by Thomas E. Cecil.
Author	Cecil, Thomas E.
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : : Springer New York : : Imprint: Springer, , 1992.
Physical Details	XII, 209 p. : online resource.
Series	Universitext 0172-5939
ISBN	9781475740967
Summary Note	Lie Sphere Geometry provides a modern treatment of Lie's geometry of spheres, its recent applications and the study of Euclidean space. This book 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. Of particular interest are isoparametric, Dupin and taut submanifolds. These have recently been classified up to Lie sphere transformation in certain special cases through the introduction of natural Lie invariants. The author provides complete proofs of these classifications and indicates directions for further research and wider application of these methods.:
Contents note	1 — Lie Sphere Geometry -- 2 — Lie Sphere Transformations -- 3 — Legendre Submanifolds -- 4 — Dupin Submanifolds -- References.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4757-4096-7
Links to Related Works	Subject References: Algebraic Geometry . Differential Geometry . Mathematics . Authors: Cecil, Thomas E. . Corporate Authors: SpringerLink (Online service) . Series: Universitext . Classification: 516.36 .

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Lie Sphere Geometry: With Applications to Submanifolds /

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