Stability of minimal surfaces in spaces of constant curvature

DOI10.1007/BF02584874zbMath0462.53033OpenAlexW2061403420MaRDI QIDQ3913426

Manfredo Perdigão do Carmo, João Lucas Marques Barbosa

Publication date: 1980

Published in: Boletim da Sociedade Brasileira de Matemática (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02584874

zbMATH Keywords

stableconstant sectional curvature

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (4)

The area of the generalized Gaussian image and the stability of minimal surfaces in \(S^ n\) and \(R^ n\). ⋮ Remarks on the paper of Barbosa and do Carmo ⋮ On the stability of minimal surfaces in \(S^ 3\) ⋮ Une condition pour qu'une submersion soit la projection d'un produit

Cites Work

• Stability of minimal surfaces and eigenvalues of the Laplacian
• Minimal varieties in Riemannian manifolds
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