On the scalar curvature of constant mean curvature hypersurfaces in space forms

By L. Alías, S. García-Martínez. 2009

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Abstract 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, Setti (2005) [17] .

Subfields: Applied Mathematics, Geometry and Topology

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