Item description for Painleve Equations in the Differential Geometry of Surfaces (Lecture Notes in Mathematics) by Alexander I. Bobenko...
This book brings together two different branches of mathematics: the theory of Painlev 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 Painlev 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 Painlev equations: the theory of isomonodromic deformation and the Painlev 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 Painlev equations. Researchers working in one of these areas can become familiar with another relevant branch of mathematics.
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Est. Packaging Dimensions: Length: 9" Width: 5.9" Height: 0.1" Weight: 0.2 lbs.
Release Date Jan 12, 2001
ISBN 3540414142 ISBN13 9783540414148
Availability 68 units. Availability accurate as of May 27, 2017 02:05.
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More About Alexander I. Bobenko
Bobenko is with the Technische Universitat Berlin.