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 |
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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 |
| _version_ | 1828214242446147584 |
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| author | Fanqi Zeng |
| author_facet | Fanqi Zeng |
| author_sort | Fanqi Zeng |
| collection | DOAJ |
| description | 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]. |
| first_indexed | 2024-04-12T15:01:12Z |
| format | Article |
| id | doaj.art-8ac3d7e3ad044dfea05b694b4823020c |
| institution | Directory Open Access Journal |
| issn | 2688-1594 |
| language | English |
| last_indexed | 2024-04-12T15:01:12Z |
| publishDate | 2022-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj.art-8ac3d7e3ad044dfea05b694b4823020c2022-12-22T03:28:04ZengAIMS PressElectronic Research Archive2688-15942022-05-013082860287010.3934/era.2022145Some almost-Schur type inequalities and applications on sub-static manifoldsFanqi Zeng 0School of Mathematics and Statistics, Xinyang Normal University, Xinyang, 464000, ChinaIn 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].https://www.aimspress.com/article/doi/10.3934/era.2022145?viewType=HTMLalmost-schur type inequalitiessub-static manifoldsmean curvaturericci curvature |
| spellingShingle | Fanqi Zeng Some almost-Schur type inequalities and applications on sub-static manifolds Electronic Research Archive almost-schur type inequalities sub-static manifolds mean curvature ricci curvature |
| title | Some almost-Schur type inequalities and applications on sub-static manifolds |
| title_full | Some almost-Schur type inequalities and applications on sub-static manifolds |
| title_fullStr | Some almost-Schur type inequalities and applications on sub-static manifolds |
| title_full_unstemmed | Some almost-Schur type inequalities and applications on sub-static manifolds |
| title_short | Some almost-Schur type inequalities and applications on sub-static manifolds |
| title_sort | some almost schur type inequalities and applications on sub static manifolds |
| topic | almost-schur type inequalities sub-static manifolds mean curvature ricci curvature |
| url | https://www.aimspress.com/article/doi/10.3934/era.2022145?viewType=HTML |
| work_keys_str_mv | AT fanqizeng somealmostschurtypeinequalitiesandapplicationsonsubstaticmanifolds |