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On stable surfaces of constant Gauss curvature in space forms

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Publication:1894605
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DOI10.1007/BF01120329zbMath0829.53051MaRDI QIDQ1894605

Martin Traizet

Publication date: 2 August 1995

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)


zbMATH Keywords

stabilitysurfaces of constant curvature


Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Variational problems concerning minimal surfaces (problems in two independent variables) (58E12)


Related Items

On stable complete hypersurfaces with vanishing \(r\)-mean curvature ⋮ Complete and stable \(O(p+1) \times O(q+1)\)-invariant hypersurfaces with zero scalar curvature in Euclidean space \(\mathbb R^{p+q+2}\) ⋮ O(p + 1) × O(q + 1)-invariant (r – 1)-minimal hypersurfaces in Euclidean space



Cites Work

  • Variational properties of functions of the mean curvatures for hypersurfaces in space forms
  • The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
  • On the Size of a Stable Minimal Surface in R 3
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