A01=Hirohiko Shima
Affine Differential Geometry
Author_Hirohiko Shima
Category=PBMP
Category=PBP
Category=PBW
Convex Cone
Dual Connection
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Flat Connection
Hessian Metric
Hessian Structure
Homogeneous Space
Information Geometry
KAfA?hlerian Geometry
Kahlerian Geometry
Kählerian Geometry
Product details
- ISBN 9789812700315
- Publication Date: 02 Mar 2007
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
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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 theory.
