Lie Sphere Geometry: With Applications to Submanifolds - Couverture souple

Livre 33 sur 261: Universitext

Cecil, T.E.

 
9783540977476: Lie Sphere Geometry: With Applications to Submanifolds
Couverture souple
ISBN 10 : 3540977473 ISBN 13 : 9783540977476
Editeur : Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1992

Synopsis

This is a modern treatment of Lie's geometry of spheres, its recent applications and the study of Euclidean space. The 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.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Date d'édition
1992
Langue
anglais
ISBN 10 
3540977473
ISBN 13 
9783540977476
Reliure
Broché
Nombre de pages
219
Coordonnées du fabricant
non disponible
Personne responsable
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Allemagne

Autres éditions populaires du même titre

9780387746555: Lie Sphere Geometry: With Applications to Submanifolds

Edition présentée

ISBN 10 :  0387746552 ISBN 13 :  9780387746555
Editeur : Springer New York, 2010
Couverture souple