Stability and eigenvalue estimates of linear weingarten hypersurfaces in a sphere

DOI10.1016/j.jmaa.2012.08.003zbMath1260.53112OpenAlexW1999910175MaRDI QIDQ1759930

Hang Chen, Xian Feng Wang

Publication date: 22 November 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.08.003

zbMATH Keywords

stabilityscalar curvaturemean curvatureeigenvalue estimateslinear Weingarten hypersurfaces

Mathematics Subject Classification ID

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

Related Items (11)

On the umbilicity of generalized linear Weingarten hypersurfaces in hyperbolic spaces ⋮ Strongly stable linear Weingarten hypersurfaces immersed in the hyperbolic space ⋮ Sharp Reilly-type inequalities for a class of elliptic operators on submanifolds ⋮ Eigenvalue estimates for the stability operator of CMC compact surfaces in three-dimensional warped products ⋮ On almost stable linear Weingarten hypersurfaces ⋮ Some half-space theorems in the real projective space ⋮ First stability eigenvalue characterization of CMC Hopf tori into Riemannian Killing submersions ⋮ The stability of closed linear Weingarten spacelike hypersurfaces in foliated spacetimes ⋮ On isoparametric linear Weingarten hypersurfaces in Riemannian and Lorentzian space forms ⋮ Stability of spacelike hypersurfaces in de Sitter space ⋮ \((r, k, a, b)\)-stability of hypersurfaces in space forms

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