@article{Zhang2024, 
author = {Xiaoling Zhang and Cuiling Ma and Lili Zhao},
title = {On some  m-th root metrics},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {9},
pages = {23971-23978},
keywords = {scalar curvature, weakly isotropic scalar curvature, m-th root Finsler metrics, locally conformally flat, cubic metrics},
url = {https://www.sciopen.com/article/10.3934/math.20241165},
doi = {10.3934/math.20241165},
abstract = {The Ricci curvature in Finsler geometry naturally generalizes the Ricci curvature in Riemannian geometry. In this paper, we study the  m-th root metric with weakly isotropic scalar curvature and obtain that its scalar curvature must vanish. Further, we prove that a locally conformally flat cubic Finsler metric with weakly isotropic scalar curvature must be locally Minkowskian.}
}