The hyper-surfaces with two linear dependent mean curvature functions in space forms

DOI10.1007/s11425-011-4260-3zbMath1261.53059OpenAlexW2264440036MaRDI QIDQ1934558

Jin Liu, Huai-Yu Jian

Publication date: 29 January 2013

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-011-4260-3

zbMATH Keywords

stabilityminimal surfaces\(L_r\) operator\(r\)-th mean curvature function

Mathematics Subject Classification ID

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

Related Items (2)

Variational formulas of higher order mean curvatures ⋮ On the stability of hypersurfaces in space forms

Cites Work

• Unnamed Item
• Hypersurfaces with constant scalar curvature
• Stability of hypersurfaces with constant \(r\)-mean curvature
• On stable complete hypersurfaces with vanishing \(r\)-mean curvature
• \(r\)-minimal submanifolds in space forms
• Minimal varieties in Riemannian manifolds
• Stability of hypersurfaces with vanishing r-mean curvatures in euclidean spaces

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