Description

Book Synopsis
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.

Global Affine Differential Geometry of Hypersurfaces

    Product form

    A Hardback by An-Min Li, Udo Simon, Guosong Zhao

    £123.98

    Includes FREE delivery

    RRP £130.50 – you save £6.52 (4%)

    Order before 4pm today for delivery by Tue 1 Sep 2026.

    15 in stock

      Trusted by thousands of customers. See 2,385+ Customer Reviews

      View other formats and editions of Global Affine Differential Geometry of Hypersurfaces by An-Min Li

      Book details

      Publisher De Gruyter
      Published 30 July 2015
      ISBN-13 9783110266672
      978-3110266672
      ISBN-10 3110266679
      Also in:
      Differential and Riemannian geometry Differential calculus and equations Non-Euclidean geometry

      Description

      Book Synopsis
      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.

      Recently viewed products

      © 2026 Book Curl

        • American Express
        • Apple Pay
        • Diners Club
        • Discover
        • Google Pay
        • Maestro
        • Mastercard
        • PayPal
        • Shop Pay
        • Union Pay
        • Visa

        Login

        Forgot your password?

        Don't have an account yet?
        Create account