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The Geometry of Hessian Structures

Hirohiko Shima

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ISBN 10: 9812700315 / ISBN 13: 9789812700315
Published by World Scientific Publishing Co Pte Ltd
New Condition: new Hardcover
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BRAND NEW, The Geometry of Hessian Structures, Hirohiko Shima, 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. Bookseller Inventory # B9789812700315

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Bibliographic Details

Title: The Geometry of Hessian Structures

Publisher: World Scientific Publishing Co Pte Ltd

Binding: Hardback

Book Condition: new

About this title

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.

Review:

"The book is a good, well-written overview of Hessian structures from the point of view of classical differential geometry." -- Mathematical Reviews

"The book is clearly and very rigorously written. The author manages to present the geometry of Hessian structures as a fascinating field of research. I consider it as an excellent instrument for the specialists in the field." --Zentralblatt MATH

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