@article{Zeng2022, 
author = {Fanqi Zeng},
title = {Some almost-Schur type inequalities and applications on sub-static manifolds},
year = {2022},
journal = {Electronic Research Archive},
volume = {30},
number = {8},
pages = {2860-2870},
keywords = {Ricci curvature, mean curvature, almost-Schur type inequalities, sub-static manifolds},
url = {https://www.sciopen.com/article/10.3934/era.2022145},
doi = {10.3934/era.2022145},
abstract = {In this paper, we establish some almost-Schur type inequalities on sub-static manifolds, naturally arising in General Relativity. In particular, our results generalize those in [1] of Li-Xia for  r-th mean curvatures of closed sub-static hypersurfaces in space forms and  k-scalar curvatures for closed locally conformally flat sub-static manifolds. Moreover, our results also generalize those of Cheng [2].}
}