Abstract
<abstract><p>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 <sup>[<xref ref-type="bibr" rid="b1">1</xref>]</sup> 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 <sup>[<xref ref-type="bibr" rid="b2">2</xref>]</sup>.</p></abstract>
Publisher
American Institute of Mathematical Sciences (AIMS)
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