Название: The Geometry of Hessian Structures Автор: Hirohiko Shima Издательство: World Scientific Publishing Company Год: 2007 Формат: pdf Страниц: 261 Размер: 11,4 МБ Язык: English
The geometry of Hessian structures is a fascinating emerging field of research. It is in particular a very close relative of Kahlerian geometry, and connected with many important pure mathematical branches such as affine differential geometry, homogeneous spaces and cohomology. The theory also finds deep relation to information geometry in applied mathematics. This systematic introduction to the subject first develops the fundamentals of Hessian structures on the basis of a certain pair of a flat connection and a Riemannian metric, and then describes these related fields as applications of the theory. Readership: Mathematicians and mathematics graduate students.
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The Geometry of Hessian Structures 
