On dually flat (α,β)-metrics

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:412

Article

Yu, Changtao

关键词: Finsler metric;    (alpha,beta)-Metric;    Dual flatness;    Information geometry;    Deformation;   

DOI  :  10.1016/j.jmaa.2013.11.004

来源: Elsevier

【 摘 要 】

The dual flatness for Riemannian metrics in information geometry has been extended to Finsler metrics. The aim of this paper is to study the dual flatness of the so-called (alpha,beta)-metrics in Finsler geometry. By doing some special deformations, we will show that the dual. flatness of an (alpha,beta)-metric always arises from that of some Riemannian metric in dimensional n >= 3. (C) 2013 Elsevier Inc. All rights reserved.

【 授权许可】

Free