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

Changtao Yu

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arXiv · 1305.3767

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

Changtao Yu

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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).

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Changtao Yu. 2013-05-16. On dually flat $(\alpha,\beta)$-metrics. https://arxiv.org/abs/1305.3767

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