Stable constant mean curvature hypersurfaces in some Riemannian manifolds

DOI10.1007/s000140050070zbMath0938.53031OpenAlexW2057286044WikidataQ115390063 ScholiaQ115390063MaRDI QIDQ1281752

Sebastían Montiel

Publication date: 13 April 2000

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000140050070

zbMATH Keywords

stabilityconstant mean curvaturewarped productnon-simply connected hyperbolic space forms

Mathematics Subject Classification ID

Variational problems in a geometric measure-theoretic setting (49Q20) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (13)

Convexity and some geometric properties ⋮ Characterization of totally geodesic foliations with integrable and parallelizable normal bundle ⋮ Isoperimetric regions in spherical cones and Yamabe constants of \(M \times S^{1}\) ⋮ Stability index jump for constant mean curvature hypersurfaces of spheres ⋮ Eigenvalue estimates for the stability operator of CMC compact surfaces in three-dimensional warped products ⋮ Stability of constant mean curvature surfaces in three-dimensional warped product manifolds ⋮ Sharp estimates for the first stability eigenvalue of surfaces in the presence of a closed conformal vector field ⋮ Hopf type theorems for surfaces in the de Sitter-Schwarzschild and Reissner-Nordstrom manifolds ⋮ Stability of compact constant mean curvature hypersurfaces in a wide class of Riemannian manifolds ⋮ Characterizations of umbilic hypersurfaces in warped product manifolds ⋮ On the first stability eigenvalue of CMC surfaces into warped products with two-dimensional fiber ⋮ Foliations by spacelike hypersurfaces on Lorentz manifolds ⋮ Elasticity and conformal tension via the Kaluza-Klein mechanism

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