On the scalar curvature of constant mean curvature hypersurfaces in space forms |
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Authors: | Luis J Alías |
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Institution: | Departamento de Matemáticas, Universidad de Murcia, E-30100 Espinardo, Murcia, Spain |
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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]. |
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Keywords: | Constant mean curvature Scalar curvature Ricci curvature Maximum principle Parabolicity Stochastic completeness |
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