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Spherical Tube Hypersurfaces 2011 Edition
Contributor(s): Isaev, Alexander (Author)

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 ISBN: 3642197825     ISBN-13: 9783642197826
Publisher: Springer
OUR PRICE: $52.24  

Binding Type: Paperback - See All Available Formats & Editions
Published: March 2011
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Additional Information
BISAC Categories:
- Mathematics | Mathematical Analysis
Dewey: 515.94
LCCN: 2011925542
Series: Lecture Notes in Mathematics
Physical Information: 0.6" H x 6.1" W x 9.1" L (0.70 lbs) 230 pages
Features: Bibliography, Index, Table of Contents
 
Descriptions, Reviews, Etc.
Publisher Description:
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).
 
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