On the scalar curvature of constant mean curvature hypersurfaces in space forms
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🧮 math.DG
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curvatureconstantmeanscalarspaceapplicationbehaviorcite
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In this paper we study the behavior of the scalar curvature $S$ of a complete hypersurface immersed with constant mean curvature into a Riemannian space form of constant curvature, deriving a sharp estimate for the infimum of $S$. Our results will be an application of a weak Omori-Yau maximum principle due to Pigola, Rigoli and Setti \cite{PRS}.
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