Open AccessRiemann-Finsler Geometry with Applications to Information Geometry
Author(s) -
Zhongmin Shen
Publication year - 2006
Publication title -
chinese annals of mathematics series b
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.523
H-Index - 37
eISSN - 1572-9133
pISSN - 0252-9599
DOI - 10.1007/s11401-005-0333-3
Subject(s) - geometry , synthetic geometry , riemannian geometry , finsler manifold , information geometry , differential geometry , riemann hypothesis , absolute geometry , ordered geometry , mathematics , integral geometry , base (topology) , mathematical analysis , projective geometry , ricci curvature , curvature , scalar curvature , convex set , convex optimization , regular polygon
Information 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.
Accelerating Research
Robert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom
Address
John Eccles HouseRobert Robinson Avenue,
Oxford Science Park, Oxford
OX4 4GP, United Kingdom