Painleve Equations in the Differential Geometry of Surfaces - Lecture Notes in Mathematics - Alexander I. Bobenko - Books - Springer-Verlag Berlin and Heidelberg Gm - 9783540414148 - December 12, 2000
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Alexander I. Bobenko
Painleve Equations in the Differential Geometry of Surfaces - Lecture Notes in Mathematics 2000 edition

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This book brings together two different branches of mathematics: the theory of Painlevé and the theory of surfaces. Self-contained introductions to both these fields are presented. It is shown how some classical problems in surface theory can be solved using the modern theory of Painlevé equations. In particular, an essential part of the book is devoted to Bonnet surfaces, i.e. to surfaces possessing families of isometries preserving the mean curvature function. A global classification of Bonnet surfaces is given using both ingredients of the theory of Painlevé equations: the theory of isomonodromic deformation and the Painlevé property. The book is illustrated by plots of surfaces. It is intended to be used by mathematicians and graduate students interested in differential geometry and Painlevé equations. Researchers working in one of these areas can become familiar with another relevant branch of mathematics.

120 pages, biography

Media Books     Paperback Book   (Book with soft cover and glued back)
Released December 12, 2000
ISBN13 9783540414148
Publishers Springer-Verlag Berlin and Heidelberg Gm
Pages 120
Dimensions 156 × 234 × 6 mm   ·   190 g
Language English   French  

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