The 𝑟-stability of hypersurfaces with zero Gauss-Kronecker curvature

DOI10.1090/S0002-9939-07-08941-1zbMath1128.53034OpenAlexW2078909881WikidataQ126003097 ScholiaQ126003097MaRDI QIDQ5429451

Marcos Petrúcio De A. Cavalcante

Publication date: 30 November 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-07-08941-1

zbMATH Keywords

stabilitycapacityJacobi operatorminimal immersionNewton transformations

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Estimates of eigenvalues in context of PDEs (35P15) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Cites Work

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• Spectrum of manifolds with holes
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• On the Size of a Stable Minimal Surface in R 3
• Stability of hypersurfaces with vanishing r-mean curvatures in euclidean spaces