Some almost-Schur type inequalities and applications on sub-static manifolds
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...
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Format: | Article |
Language: | English |
Published: |
AIMS Press
2022-05-01
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Series: | Electronic Research Archive |
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Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2022145?viewType=HTML |
Summary: | 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]. |
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ISSN: | 2688-1594 |