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Foliation of 3-dimensional space forms by surfaces with constant mean curvature

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Publication:3991362
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DOI10.1007/BF02590019zbMath0747.53029MaRDI QIDQ3991362

No author found.

Publication date: 28 June 1992

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



Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)


Related Items

Minimal hypersurfaces in \(\mathbb {H}^n \times \mathbb {R}\), total curvature and index, On Bernstein–Heinz–Chern–Flanders inequalities, On codimension-one foliations of constant mean curvature, All solutions of the CMC-equation in \({\mathbb H^n\times\mathbb R}\) invariant by parabolic screw motion, Lindelöf’s theorem for hyperbolic catenoids, Foliations by hypersurfaces with constant mean curvature



Cites Work

  • Unnamed Item
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  • Foliations by hypersurfaces with constant mean curvature
  • Stability of hypersurfaces with constant mean curvature
  • Stability of hypersurfaces of constant mean curvature in Riemannian manifolds
  • Rotation Hypersurfaces in Spaces of Constant Curvature
  • Stable complete minimal surfaces in 𝑅³ are planes
  • The topology and geometry of embedded surfaces of constant mean curvature
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