English

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

Differential Geometry 2013-05-17 v1 Information Theory math.IT

Abstract

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

Keywords

Cite

@article{arxiv.1305.3767,
  title  = {On dually flat $(\alpha,\beta)$-metrics},
  author = {Changtao Yu},
  journal= {arXiv preprint arXiv:1305.3767},
  year   = {2013}
}

Comments

16pages, no figure, any comments are welcome

R2 v1 2026-06-22T00:17:33.002Z