The Geometry of Hessian Structures

The Geometry of Hessian Structures
Author: Hirohiko Shima
Publisher: World Scientific
Total Pages: 261
Release: 2007
Genre: Mathematics
ISBN: 9812707530


Download The Geometry of Hessian Structures Book in PDF, Epub and Kindle

The geometry of Hessian structures is a fascinating emerging field of research. It is in particular a very close relative of Knhlerian 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."


The Geometry of Hessian Structures
Language: en
Pages: 261
Authors: Hirohiko Shima
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: World Scientific

GET EBOOK

The geometry of Hessian structures is a fascinating emerging field of research. It is in particular a very close relative of Knhlerian geometry, and connected w
The Geometry of Hessian Structures
Language: en
Pages: 261
Authors: Hirohiko Shima
Categories: Mathematics
Type: BOOK - Published: 2007 - Publisher: World Scientific

GET EBOOK

The geometry of Hessian structures is a fascinating emerging field of research. It is in particular a very close relative of K„hlerian geometry, and connected
Geometric Structures of Information
Language: en
Pages: 392
Authors: Frank Nielsen
Categories: Technology & Engineering
Type: BOOK - Published: 2018-11-19 - Publisher: Springer

GET EBOOK

This book focuses on information geometry manifolds of structured data/information and their advanced applications featuring new and fruitful interactions betwe
Manifolds and Lie Groups
Language: en
Pages: 465
Authors: J. Hano
Categories: Mathematics
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

GET EBOOK

This volume is the collection of papers dedicated to Yozo Matsushima on his 60th birthday, which took place on February 11, 1980. A conference in Geometry in ho
Geometric Structure of High-Dimensional Data and Dimensionality Reduction
Language: en
Pages: 363
Authors: Jianzhong Wang
Categories: Computers
Type: BOOK - Published: 2012-04-28 - Publisher: Springer Science & Business Media

GET EBOOK

"Geometric Structure of High-Dimensional Data and Dimensionality Reduction" adopts data geometry as a framework to address various methods of dimensionality red