An estimate for the scalar curvature of constant mean curvature hypersurfaces in space forms |
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Authors: | Luis J. Alías S. Carolina García-Martínez |
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Affiliation: | 1.Departamento de Matemáticas,Universidad de Murcia,Espinardo, Murcia,Spain |
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Abstract: | In this paper we derive a sharp estimate for the supremum of the scalar curvature (or, equivalently, the infimum of the squared norm of the second fundamental form) of a constant mean curvature hypersurface with two principal curvatures immersed into a Riemannian space form of constant curvature. Our results will be an application of the generalized Omori-Yau maximum principle, following the approach by Pigola et al. (Memoirs Am Math Soc 822, 2005). |
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