Some almost-Schur type inequalities and applications on sub-static manifolds

Autor: Fanqi Zeng
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Electronic Research Archive, Vol 30, Iss 8, Pp 2860-2870 (2022)
Druh dokumentu: article
ISSN: 2688-1594
DOI: 10.3934/era.2022145?viewType=HTML
Popis: 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].
Databáze: Directory of Open Access Journals
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