Concentration of total curvature of minimal surfaces in \(\mathbb {H}^2\times \mathbb R\)

DOI10.1007/S00208-016-1508-9zbMath1380.53067arXiv1603.03335OpenAlexW2560749275MaRDI QIDQ1674602

Ricardo Sa Earp, Eric Toubiana

Publication date: 25 October 2017

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.03335

zbMATH Keywords

stable minimal surfacetotal curvatureasymptotic boundaryasymptotic boundaries

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (4)

Minimal surfaces in ℍ2 × ℝ: Non-fillable curves ⋮ Asymptotic Plateau problem in \(\mathbb{H}^2\times \mathbb{R}\) ⋮ Isoperimetric inequalities and regularity of \(a\)-harmonic functions on surfaces ⋮ On the characterization of minimal surfaces with finite total curvature in \({\mathbb {H}}^2\times {\mathbb {R}}\) and \(\widetilde{\mathrm{PSL}}_2 ({\mathbb {R}})\)

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