The Geometry of Hessian Structures (Hardcover) (ISBN-13: 9789812700315)

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.

Author: Hirohiko Shima
ISBN-10: 9812700315
ISBN-13: 9789812700315
Publisher: World Scientific Publishing Company
Language: English
Published: 03/01/2007
Pages: 260
Format: Hardcover
Weight: 1.08lbs
Size: 9.00h x 6.38w x 0.83d