On dually flat $(\alpha ,\beta )$-metrics

Abstract

In this paper, I will show how to use $\beta$-deformations to deal with dual flatness of $(\alpha ,\beta )$-metrics. It is a natural continuation of the research on dually flat Randers metrics(see arxiv:1209.1150). $\beta$-deformations is a new method in Riemann-Finsler geometry, it is introduced by the author(see arxiv:1209.0845).

arXiv comment16pages, no figure, any comments are welcome