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Bestseller
BestsellerE-book
Author Shima, Hirohiko.

Title The geometry of Hessian structures / Hirohiko Shima.

Publication Info. Hackensack, N.J. : World Scientific, [2007]
©2007

Item Status

Description 1 online resource (xiv, 246 pages)
Physical Medium polychrome
Description text file
Bibliography Includes bibliographical references (pages 237-241) and index.
Contents Preface; Introduction; Contents; 1. Affine spaces and connections; 2. Hessian structures; 3. Curvatures for Hessian structures; 4. Regular convex cones; 5. Hessian structures and affine 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.
Summary The geometry of Hessian structures is a fascinating emerging field of research. It is in particular a very close relative of Kählerian 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.
Local Note eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America
Subject Geometry, Differential.
Geometry, Differential.
Homology theory.
Homology theory.
Homogeneous spaces.
Homogeneous spaces.
Manifolds (Mathematics)
Manifolds (Mathematics)
Genre/Form Electronic books.
Added Title Hessian structures
Other Form: Print version: Shima, Hirohiko. Geometry of Hessian structures. Hackensack, N.J. : World Scientific, ©2007 9812700315 9789812700315 (DLC) 2007298479 (OCoLC)167542989
ISBN 9789812707536 (electronic book)
9812707530 (electronic book)