On the first stability eigenvalue of closed submanifolds in the Euclidean and hyperbolic spaces

DOI10.1016/J.DIFGEO.2017.03.002zbMath1369.53041OpenAlexW2596230213WikidataQ115355526 ScholiaQ115355526MaRDI QIDQ2363166

Fábio R. dos Santos, Antonio W. Cunha, Henrique Fernandes de Lima

Publication date: 13 July 2017

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2017.03.002

zbMATH Keywords

closed submanifoldsEuclidean and hyperbolic spacesfirst strong stability eigenvaluestrongly unstable submanifolds

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

First stability eigenvalue of singular hypersurfaces with constant mean curvature in the unit sphere ⋮ First \(\frac{2}{n}\)-stability eigenvalue of singular minimal hypersurfaces in space forms

Cites Work

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• Minimal varieties in Riemannian manifolds
• Submanifolds with Constant Mean Curvature
• First stability eigenvalue characterization of Clifford hypersurfaces
• A spectral characterization of the $H(r)$-torus by the first stability eigenvalue

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