Lie Sphere Geometry: With Applications to Submanifolds - Brossura

Libro 80 di 260: Universitext

Cecil, Thomas E.

 
9780387977478: Lie Sphere Geometry: With Applications to Submanifolds
Brossura
ISBN 10: 0387977473 ISBN 13: 9780387977478
Casa editrice: Springer Verlag, 1992

Sinossi

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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Product Description

Book by Cecil T E

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Editore
Springer Verlag
Data di pubblicazione
1992
Lingua
Inglese
ISBN 10 
0387977473
ISBN 13 
9780387977478
Rilegatura
Copertina flessibile
Numero edizione
1
Numero di pagine
221
Contatto del produttore
non disponibile
Persona responsabile
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Germania

Altre edizioni note dello stesso titolo

9780387746555: Lie Sphere Geometry: With Applications to Submanifolds

Edizione in evidenza

ISBN 10:  0387746552 ISBN 13:  9780387746555
Casa editrice: Springer New York, 2010
Brossura