On \(H=1/2\) surfaces in \(\widetilde{\mathrm{PSL}}_2(\mathbb R,\tau)\)

zbMath1336.53069MaRDI QIDQ902232

Carlos Peñafiel

Publication date: 7 January 2016

Published in: Osaka Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ojm/1447856027

zbMATH Keywords

CMC surfaceHoffman-Meeks half-space theoremhorocylinderproperly embeddedproperly immersedThurston's geometries

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)

The half space property for cmc 1/2 graphs in \(\mathbb {E}(-1,\tau )\)

Cites Work

• Isometric immersions into 3-dimensional homogeneous manifolds
• General curvature estimates for stable H-surfaces in 3-manifolds applications
• On complete mean curvature \(\frac 12\) surfaces in \(\mathbb{H}^2\times\mathbb{R}\)
• Graphs and multi-graphs in homogeneous 3-manifolds with isometry groups of dimension 4
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