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Beschreibung
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 new methods of proof.
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 new methods of proof.
Über den Autor
Z. Hu, Zhenzhou Univ., China; A.-M. Li, Sichuan Univ./Chinese AoS, China; U. Simon, TU Berlin, Germany; G. Zhao, Sichuan Univ., China.
Details
Erscheinungsjahr: 2015
Fachbereich: Allgemeines
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Thema: Lexika
Medium: Buch
Inhalt: IX
367 S.
5 s/w Illustr.
5 b/w ill.
ISBN-13: 9783110266672
ISBN-10: 3110266679
Sprache: Englisch
Einband: Gebunden
Autor: Li, An-Min
Hu, Zejun
Zhao, Guosong
Simon, Udo
Redaktion: Li, An-Min
Simon, Udo
Zhao, Guosong
Hu, Zejun
Auflage: 2nd revised and extended edition
Hersteller: De Gruyter
de Gruyter, Walter, GmbH
Verantwortliche Person für die EU: Walter de Gruyter GmbH, De Gruyter GmbH, Genthiner Str. 13, D-10785 Berlin, productsafety@degruyterbrill.com
Maße: 246 x 175 x 26 mm
Von/Mit: An-Min Li (u. a.)
Erscheinungsdatum: 30.07.2015
Gewicht: 0,819 kg
Artikel-ID: 105177206

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