English

On Kropina Change of m-th Root Finsler Metrics

Differential Geometry 2014-09-26 v1

Abstract

In this paper, we consider Kropina change of mm-th root Finsler metrics. We find necessary and sufficient condition under which the Kropina change of an mm-th root Finsler metric be locally dually flat. Then we prove that the Kropina change of an mm-th root Finsler metric is locally projectively flat if and only if it is locally Minkowskian.

Keywords

Cite

@article{arxiv.1409.7351,
  title  = {On Kropina Change of m-th Root Finsler Metrics},
  author = {A. Tayebi and T. Tabatabaeifar and E. Peyghan},
  journal= {arXiv preprint arXiv:1409.7351},
  year   = {2014}
}

Comments

accepted in Ukrainian Mathematical Journal Volume 66, number 1, 2014