On a Class of Weakly Weighted Einstein Metrics
Differential Geometry
2022-12-07 v4
Abstract
Weighted Ricci curvatures with various weights of the S-curvature have played an important role in Finsler geometry, especially in the control of volumes of Finsler manifolds. In this paper, we study general weighted Ricci curvatures, and characterize Randers metrics of almost isotropic weighted Ricci curvatures.
Cite
@article{arxiv.2201.03991,
title = {On a Class of Weakly Weighted Einstein Metrics},
author = {Zhongmin Shen and Runzhong Zhao},
journal= {arXiv preprint arXiv:2201.03991},
year = {2022}
}