On dually flat (α,β)(α,β)-metrics

preprint2013arXivOpen access

Abstract

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

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