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.
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Geometry, Differential. |
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Homology theory.
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Homology theory. |
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Homogeneous spaces.
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Homogeneous spaces. |
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Manifolds (Mathematics)
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Manifolds (Mathematics) |
Genre/Form |
Electronic books.
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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) |
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9812707530 (electronic book) |
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