A new optimal estimate for the first stability eigenvalue of closed hypersurfaces in Riemannian space forms
DOI10.1007/S12215-018-0332-3zbMath1409.53054OpenAlexW2789741342WikidataQ115376998 ScholiaQ115376998MaRDI QIDQ1632034
Eudes Leite de Lima, Henrique Fernandes de Lima
Publication date: 12 December 2018
Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12215-018-0332-3
constant mean curvaturestrong stabilityRiemannian space formsfirst stability eigenvaluetotally umbilical hypersurfaceClifford torus, circular and hyperbolic cylindersclosed \(H\)-hypersurfaces
Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20)
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Cites Work
- Rigidity theorems for hypersurfaces with constant mean curvature
- New characterizations of the Clifford tori and the Veronese surface
- On the scalar curvature of constant mean curvature hypersurfaces in space forms
- Stability of hypersurfaces of constant mean curvature in Riemannian manifolds
- Hadamard-type theorems for hypersurfaces in hyperbolic spaces
- Minimal varieties in Riemannian manifolds
- Hypersurfaces and a Pinching Problem on the Second Fundamental Tensor
- First stability eigenvalue characterization of Clifford hypersurfaces
- A spectral characterization of the $H(r)$-torus by the first stability eigenvalue
- On the first stability eigenvalue of hypersurfaces in the Euclidean and hyperbolic spaces
- On the stability index of hypersurfaces with constant mean curvature in spheres
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