On dually flat (α,β)-metrics
classification
🧮 math.DG
cs.ITmath.IT
keywords
betametricsalphaarxivdeformationsduallyflatauthor
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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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