Name: Spherical Tube Hypersurfaces (Lecture Notes in Mathematics) (en Inglés)
Price: 270.93 PEN
Availability: InStock
Author: Alexander Isaev
ISBN: 9783642197826

portada Spherical Tube Hypersurfaces (Lecture Notes in Mathematics) (en Inglés)

Formato

Libro Físico

Editorial

Springer

Autor

Alexander Isaev

Año

2011

Idioma

Inglés

N° páginas

236

Encuadernación

Tapa Blanda

ISBN

3642197825

ISBN13

9783642197826

N° edición

2011

Categorías

Cálculo y análisis matemático

Spherical Tube Hypersurfaces (Lecture Notes in Mathematics) (en Inglés)

Alexander Isaev (Autor) · Springer · Tapa Blanda

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S/ 541,87

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Reseña del libro "Spherical Tube Hypersurfaces (Lecture Notes in Mathematics) (en Inglés)"

We consider Levi non-degenerate tube hypersurfaces in complex linear space which are "spherical", that is, locally CR-equivalent to the real hyperquadric. Spherical hypersurfaces are characterized by the condition of the vanishing of the CR-curvature form, so such hypersurfaces are flat from the CR-geometric viewpoint. On the other hand, such hypersurfaces are of interest from the point of view of affine geometry. Thus our treatment of spherical tube hypersurfaces in this book is two-fold: CR-geometric and affine-geometric. Spherical tube hypersurfaces turn out to possess remarkable properties. For example, every such hypersurface is real-analytic and extends to a closed real-analytic spherical tube hypersurface in complex space. One of our main goals is to give an explicit affine classification of closed spherical tube hypersurfaces whenever possible. In this book we offer a comprehensive exposition of the theory of spherical tube hypersurfaces starting with the idea proposed in the pioneering work by P. Yang (1982) and ending with the new approach due to G. Fels and W. Kaup (2009).