Spherical Tube Hypersurfaces

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Beschreibung

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).

This is a research monograph which is quite unique in a number of ways

However, it is hard to state the main features of the book briefly for non-experts

As a result, I am afraid I cannot come up with simple selling points that would be understood by the general reader and even by mathematicians who are not experts in the area of several complex variables

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Produktinformationen

Titel
Spherical Tube Hypersurfaces
Autor
EAN
9783642197826
ISBN
3642197825
Format
Kartonierter Einband
Herausgeber
Springer-Verlag GmbH
Genre
Mathematik
Anzahl Seiten
220
Gewicht
365g
Größe
H235mm x B155mm x T12mm
Jahr
2011
Untertitel
Englisch
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