The characterizations on a class of weakly weighted Einstein-Finsler metrics
Differential Geometry
2022-05-30 v1
Abstract
In this paper, we study the weakly weighted Einstein-Finsler metrics. First, we show that weakly weighted Einstein-Kropina metrics must be of isotropic S-curvature with respect to the Busemann-Hausdorff volume form under a certain condition about the weight constants. Then we characterize weakly weighted Einstein-Kropina metrics completely via their navigation expressions or via and respectively.
Keywords
Cite
@article{arxiv.2205.13854,
title = {The characterizations on a class of weakly weighted Einstein-Finsler metrics},
author = {Xinyue Cheng and Hong Cheng and Pengsheng Wu},
journal= {arXiv preprint arXiv:2205.13854},
year = {2022}
}
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22 pages