Eigenvalue estimates for some natural elliptic operators on hypersurfaces

DOI10.1016/j.difgeo.2016.07.006zbMath1352.53052OpenAlexW2476279252WikidataQ115355644 ScholiaQ115355644MaRDI QIDQ344157

Jianghai Shi

Publication date: 22 November 2016

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2016.07.006

zbMATH Keywords

Bochner formulaelliptic operator\(r\)th mean curvaturefirst nonzero eigenvalues

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Cites Work

• Unnamed Item
• Eigenvalue estimates for a class of elliptic differential operators on compact manifolds
• Variation of curvature integrals
• Hypersurfaces with constant scalar curvature
• On the first eigenvalue of the Laplacian for compact submanifolds of Euclidean space
• On the first eigenvalue of the linearized operator of the \(r\)-th mean curvature of a hypersurface
• Variational properties of functions of the mean curvatures for hypersurfaces in space forms
• A Reilly inequality for some natural elliptic operators on hypersurfaces
• Erratum to: On the first eigenvalue of the linearized operator of the \(r\)-th mean curvature of a hypersurface
• Certain conditions for a Riemannian manifold to be isometric with a sphere
• Geometric Analysis

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