Riemann-Finsler Geometry with Applications to Information Geometry

AbstractInformation geometry is a new branch in mathematics, originated from the applications of differential geometry to statistics. In this paper we briefly introduce Riemann-Finsler geometry, by which we establish Information Geometry on a much broader base, so that the potential applications of...

Full description

Saved in:
Bibliographic Details
Published inChinese annals of mathematics. Serie B Vol. 27; no. 1; pp. 73 - 94
Main Author Shen, Zhongmin
Format Journal Article
LanguageEnglish
Published Heidelberg Springer Nature B.V 01.01.2006
Dedicated to the memory of Shiing-Shen Chern
Subjects
Codes
Differential geometry
Geometry
Information geometry
Riemann-Finsler geometry
Online AccessGet full text

Cover

More Information
Summary:AbstractInformation geometry is a new branch in mathematics, originated from the applications of differential geometry to statistics. In this paper we briefly introduce Riemann-Finsler geometry, by which we establish Information Geometry on a much broader base, so that the potential applications of Information Geometry will be beyond statistics.
ISSN:0252-9599
1860-6261
DOI:10.1007/s11401-005-0333-3