Name: Geometry of Hypersurfaces (en Inglés)
Price: 177450.00 CLP
Availability: InStock
Author: Cecil, Thomas E. ; Ryan, Patrick J.
ISBN: 9781493945078

portada Geometry of Hypersurfaces (en Inglés)

Formato

Libro Físico

Autor

Patrick J. Ryan

Thomas E. Cecil

Editorial

Springer

Idioma

Inglés

N° páginas

596

Encuadernación

Tapa Blanda

Dimensiones

23.4 x 15.6 x 3.1 cm

Peso

0.84 kg.

ISBN13

9781493945078

Categorías

Grupos matemáticos y teoría de grupos
Geometría no euclidiana
Geometría diferencial y riemanniana

Geometry of Hypersurfaces (en Inglés)

Patrick J. Ryan (Autor) · Thomas E. Cecil (Autor) · Springer · Tapa Blanda

Libro Físico

$ 177.450

$ 354.890

Ahorras: $ 177.440

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Origen: Estados Unidos (Costos de importación incluídos en el precio)

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Reseña del libro "Geometry of Hypersurfaces (en Inglés)"

This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real, complex, and quaternionic space forms. Special emphasis is placed on isoparametric and Dupin hypersurfaces in real space forms as well as Hopf hypersurfaces in complex space forms. The book is accessible to a reader who has completed a one-year graduate course in differential geometry. The text, including open problems and an extensive list of references, is an excellent resource for researchers in this area.Geometry of Hypersurfaces begins with the basic theory of submanifolds in real space forms. Topics include shape operators, principal curvatures and foliations, tubes and parallel hypersurfaces, curvature spheres and focal submanifolds. The focus then turns to the theory of isoparametric hypersurfaces in spheres. Important examples and classification results are given, including the construction of isoparametric hypersurfaces based on representations of Clifford algebras. An in-depth treatment of Dupin hypersurfaces follows with results that are proved in the context of Lie sphere geometry as well as those that are obtained using standard methods of submanifold theory. Next comes a thorough treatment of the theory of real hypersurfaces in complex space forms. A central focus is a complete proof of the classification of Hopf hypersurfaces with constant principal curvatures due to Kimura and Berndt. The book concludes with the basic theory of real hypersurfaces in quaternionic space forms, including statements of the major classification results and directions for further research.