The Geometry of Hessian Structures Hirohiko Shima

ISBN: 9781281121080

Published: January 10th 2010

ebook

246 pages


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The Geometry of Hessian Structures  by  Hirohiko Shima

The Geometry of Hessian Structures by Hirohiko Shima
January 10th 2010 | ebook | PDF, EPUB, FB2, DjVu, AUDIO, mp3, ZIP | 246 pages | ISBN: 9781281121080 | 6.43 Mb

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,MoreThe 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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