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The topology of large H-surfaces bounded by a convex curve

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Publication:4502947
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DOI10.1016/S0012-9593(00)00114-2zbMath0981.53047WikidataQ126782511 ScholiaQ126782511MaRDI QIDQ4502947

Beate Semmler

Publication date: 11 March 2002

Published in: Annales Scientifiques de l’École Normale Supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_2000_4_33_3_345_0


zbMATH Keywords

constant mean curvaturesurfaces in hyperbolic space


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 (1)

Constant mean curvature hypersurfaces in \(\mathbb{H}^n \times \mathbb{R}\) with small planar boundary




Cites Work

  • Unnamed Item
  • Some structure theorems for complete \(H\)-surfaces in hyperbolic 3-space \(\mathbb{H}^3\)
  • Some remarks on compact constant mean curvature hypersurfaces in a halfspace of \(\mathbb{H}^{n+1}\)
  • Constant mean curvature surfaces in a half-space of \(\mathbb{R}^ 3\) with boundary in the boundary of the half-space
  • Half-space theorems for mean curvature one surfaces in hyperbolic space




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