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Stability of minimal surfaces in a 3-dimensional hyperbolic space

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Publication:1157021
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DOI10.1007/BF01223738zbMath0469.53006MaRDI QIDQ1157021

João Lucas Marques Barbosa, Manfredo Perdigão do Carmo

Publication date: 1981

Published in: Archiv der Mathematik (Search for Journal in Brave)


zbMATH Keywords

stableminimal immersionhyperbolic space with constant 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 (3)

On the instability of minimal submanifolds in Riemannian manifolds of positive curvature ⋮ Remarks on the paper of Barbosa and do Carmo ⋮ Remarks on the Rigidity and Stability of Minimal Submanifolds



Cites Work

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




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