Stability of compact constant mean curvature hypersurfaces in a wide class of Riemannian manifolds

DOI10.1007/s10711-011-9638-4zbMath1259.53053OpenAlexW2024084138MaRDI QIDQ438942

Alain R. Veeravalli

Publication date: 31 July 2012

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

Full work available at URL: https://doi.org/10.1007/s10711-011-9638-4

zbMATH Keywords

stableEinsteinhypersurfaceconstant mean curvatureimmersion

Mathematics Subject Classification ID

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

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Cites Work

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• Stability of hypersurfaces of constant mean curvature in Riemannian manifolds
• Stable constant mean curvature hypersurfaces in some Riemannian manifolds
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• On the first Laplacian eigenvalue and the center of gravity of compact hypersurfaces