Painleve Equations in the Differential Geometry of Surfaces

• Main Authors: TU Berlin, Alexander I. Bobenko (Author, http://id.loc.gov/vocabulary/relators/aut), Eitner, Ulrich (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000.
• Edition: 1st ed. 2000.
• Series: Lecture Notes in Mathematics, 1753
• Subjects: Differential geometry.; Global analysis (Mathematics).; Manifolds (Mathematics).; Mathematical physics.; Differential Geometry.; Global Analysis and Analysis on Manifolds.; Theoretical, Mathematical and Computational Physics.

Table of Contents:

• 1. Introduction
• 2. Basics on Painlevé Equations and Quaternionic Description of Surfaces
• 3. Bonnet Surfaces in Euclidean Three-space
• 4. Bonnet Surfaces in S3 and H3 and Surfaces with Harmonic Inverse Mean Curvature
• 5. Surfaces with Constant Curvature
• 6. Appendices.