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Lie Sphere Geometry: With Applications to Submanifolds (Universitext) - Softcover

Buch 33 von 261: Universitext

Cecil, Thomas E.

 
9780387977478: Lie Sphere Geometry: With Applications to Submanifolds (Universitext)
Softcover
ISBN 10: 0387977473 ISBN 13: 9780387977478
Verlag: Springer Verlag, 1992

Inhaltsangabe

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.

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Verlag
Springer Verlag
Erscheinungsdatum
1992
Sprache
Englisch
ISBN 10 
0387977473
ISBN 13 
9780387977478
Einband
Taschenbuch
Anzahl der Seiten
221
Kontakt zum Hersteller
Nicht verfügbar
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