ON ALMOST STABLE CMC HYPERSURFACES IN MANIFOLDS OF BOUNDED SECTIONAL CURVATURE

DOI10.1017/S0004972719000935zbMath1436.53043OpenAlexW2936398018WikidataQ127318757 ScholiaQ127318757MaRDI QIDQ5222150

Abhitosh Upadhyay, Julien Roth

Publication date: 1 April 2020

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972719000935

zbMATH Keywords

hypersurfacegeodesic spherestable constant mean curvature

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Rigidity results (53C24)

Related Items (2)

On almost stable linear Weingarten hypersurfaces ⋮ A note on starshaped hypersurfaces with almost constant mean curvature in space forms

Cites Work

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• Eigenvalue pinching and application to the stability and the almost umbilicity of hypersurfaces
• Pinching of the first eigenvalue for second order operators on hypersurfaces of the Euclidean space
• Stability of hypersurfaces with constant mean curvature
• Extrinsic upper bounds for \(\lambda _ 1\)
• Stability of hypersurfaces of constant mean curvature in Riemannian manifolds
• Sobolev and isoperimetric inequalities for riemannian submanifolds

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