The geometry of Hessian structures /

Main Author: Shima, Hirohiko.
Format: Book
Language:English
Published: Hackensack, N.J. : World Scientific, ©2007.
Subjects:
Online Access:http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=203860
Table of 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.