An estimate for the scalar curvature of constant mean curvature hypersurfaces in space forms

DOI10.1007/s10711-011-9588-xzbMath1232.53046OpenAlexW2094921418MaRDI QIDQ658538

Luis J. Alías, S. Carolina García-Martínez

Publication date: 12 January 2012

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-011-9588-x

zbMATH Keywords

hypersurfacemanifold of constant curvatureOmori-Yau principle

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (8)

Hypersurfaces with constant higher order mean curvature in Euclidean space ⋮ On complete Weingarten hypersurfaces under assumptions on the Gauss-Kronecker curvature ⋮ Remarks on hypersurfaces in a unit sphere ⋮ New estimates for the first eigenvalue of the Jacobi operator on closed hypersurfaces in Riemannian space forms ⋮ Remarks on hypersurfaces with constant higher order mean curvature in Euclidean space ⋮ Scalar curvature estimates of constant mean curvature hypersurfaces in locally symmetric spaces ⋮ A short note on a class of Weingarten hypersurfaces in \(\mathbb{R}^{n + 1} \) ⋮ Hypersurfaces with constant higher order mean curvature in space forms

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