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Spherical Tube Hypersurfaces
Alexander Isaev
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Description for Spherical Tube Hypersurfaces
Paperback. This book offers a comprehensive exposition of the theory of spherical tube hypersurfaces, beginning with ideas proposed in the pioneering 1982 work of P. Yang and progressing to the approach recently proposed by G. Fels and W. Kaup. Series: Lecture Notes in Mathematics. Num Pages: 242 pages, biography. BIC Classification: PBKD. Category: (P) Professional & Vocational. Dimension: 235 x 151 x 16. Weight in Grams: 358.
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 ... Read more
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 ... Read more
Product Details
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Format
Paperback
Publication date
2011
Series
Lecture Notes in Mathematics
Condition
New
Weight
358g
Number of Pages
230
Place of Publication
Berlin, Germany
ISBN
9783642197826
SKU
V9783642197826
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
Reviews for Spherical Tube Hypersurfaces
From the book reviews: The main goal and purpose of Isaev's book is to explore the invariant theory of the special class of spherical tube hypersurfaces. ... this book will be of interest and of value to everyone working on the equivalence problem for CR structures. (Thomas Garrity, Bulletin of the American Mathematical Society, Vol. ... Read more