The Geometry of Hessian Structures~tqw~_darksiderg

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Name:The Geometry of Hessian Structures~tqw~_darksiderg

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INFO
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Title................: The Geometry of Hessian Structures
Type.................: Ebook
Reader...............: PDF Reader
Size.................: 1.35 MB
Torrent Hash.........: B8D81C76A66E791D91A706BFFFDF18B063A7110F
Posted by............: ~tqw~

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CONTENTS
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Synopsis:
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.

Table Of Contents:
1. Ane spaces and connections
2. Hessian structures
3. Curvatures for Hessian structures
4. Regular convex cones
5. Hessian structures and affne differential geometry
6. Hessian structures and information geometry
7. Cohomology on at manifolds
8. Compact Hessian manifolds
9. Symmetric spaces with invariant Hessian structures
10. Homogeneous spaces with invariant Hessian structures
11. Homogeneous spaces with invariant projectively at connections
Bibliography
Index

Product Details:
* ISBN: 9812700315
* ISBN-13: 9789812700315
* Format: Hardcover, 246pp
* Publisher: World Scientific Publishing Company, Incorporated
* Pub. Date: March 2007

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Greetz Fellow UL'ers
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