EAN: 9783110266672

Bilder-Quelle: shopping24.de – Sport

This book draws a colorful and widespread picture of global affine hypersurface theory up to the most recent state. Moreover the recent development revealed that affine differential geometry as differential geometry in general has an exciting intersection area with other fields of interest like partial differential equations global analysis convex geometry and Riemann surfaces.The second edition of this monograph leads the reader from introductory concepts to recent research. Since the publication of the first edition in 1993 there appeared important new contributions like the solutions of two different affine Bernstein conjectures due to Chern and Calabi respectively. Moreover a large subclass of hyperbolic affine spheres were classified in recent years namely the locally strongly convex Blaschke hypersurfaces that have parallel cubic form with respect to the Levi-Civita connection of the Blaschke metric. The authors of this book present such results and newmethods of proof.

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28.03.2025 um 02:29 Uhr

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