English

On m-th root metrics with special curvature properties

Differential Geometry 2017-06-27 v1

Abstract

In this Note, we prove that every m-th root Finsler metric with isotropic Landsberg curvature reduces to a Landsberg metric. Then, we show that every m-th root metric with almost vanishing H-curvature has vanishing H-curvature.

Keywords

Cite

@article{arxiv.1706.07827,
  title  = {On m-th root metrics with special curvature properties},
  author = {Akbar Tayebi and Behzad Najafi},
  journal= {arXiv preprint arXiv:1706.07827},
  year   = {2017}
}