Painleve Equations in the Differential Geometry of Surfaces is popular PDF and ePub book, written by Alexander I. Bobenko TU Berlin in 2003-07-01, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Painleve Equations in the Differential Geometry of Surfaces can be Read Online from any device for your convenience.
Painleve Equations in the Differential Geometry of Surfaces Book PDF Summary
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.
Detail Book of Painleve Equations in the Differential Geometry of Surfaces PDF
- Author : Alexander I. Bobenko TU Berlin
- Release : 01 July 2003
- Publisher : Springer
- ISBN : 9783540444527
- Genre : Mathematics
- Total Page : 125 pages
- Language : English
- PDF File Size : 10,9 Mb
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