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).

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Produktinformationen

Titel
Spherical Tube Hypersurfaces
Autor
EAN
9783642197833
ISBN
978-3-642-19783-3
Format
E-Book (pdf)
Hersteller
Springer Berlin Heidelberg
Herausgeber
Springer-Verlag GmbH
Genre
Grundlagen
Veröffentlichung
29.03.2011
Digitaler Kopierschutz
Wasserzeichen
Dateigrösse
2.22 MB
Anzahl Seiten
230
Jahr
2015
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