English

On conformally flat cubic metrics with weakly isotropic scalar curvature

Differential Geometry 2023-09-04 v1

Abstract

The conformal properties of metrics are meaningful in Riemannian and Finsler geometry, and cubic metrics are useful in physics and biology. In this paper, we study the conformally flat cubic metrics with weakly isotropic scalar curvature. We also prove that such metrics must be Minkowski metrics.

Keywords

Cite

@article{arxiv.2309.00388,
  title  = {On conformally flat cubic metrics with weakly isotropic scalar curvature},
  author = {Cuiling Ma and Xiaoling Zhang},
  journal= {arXiv preprint arXiv:2309.00388},
  year   = {2023}
}