Riemann-Finsler Geometry with Applications to Information Geometry

Abstract

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.

Keywords

Riemann-Finsler geometry / Information geometry / 53