ENGLISH

The Geometry of Hessian Structures

By Hirohiko Shima

Book information

Publisher
World Scientific
Year
2007
ISBN
9812700315, 9789812700315, 9789812707536
Open Library ID
OL9198002M
Language
english
Format
PDF
Filesize
1 MB (1409413 bytes)
Pages
261\261
Library
mexmat
Scanned
yes
Time added
2009-07-20 03:45:11
Математика;Топология;Дифференциальная геометрия и

Description

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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