The Geometry of Hessian Structures

The Geometry of Hessian Structures
Автор
 
Год
 
Страниц
 
246
ISBN
 
ISBN10:9812700315
Издатель
 
World Scientific Publishing Company

Описание:

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.

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