On the asymptotic behavior of minimal surfaces in $\\mathbb{H}^2\\times\\mathbb{R}$

DOI10.1512/IUMJ.2017.66.6014zbMath1369.49058arXiv1506.02838OpenAlexW2608444436MaRDI QIDQ5269797

Benoît R. Kloeckner, Rafe R. Mazzeo

Publication date: 28 June 2017

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.02838

zbMATH Keywords

asymptotic behaviorsymmetric spacesminimal surfacesboundary regularityasymptotic boundary

Mathematics Subject Classification ID

Minimal surfaces and optimization (49Q05) Differential geometry of symmetric spaces (53C35)

Related Items (12)

Minimal surfaces in ℍ2 × ℝ: Non-fillable curves ⋮ Asymptotic Plateau problem in \(\mathbb{H}^2\times \mathbb{R}\) ⋮ Concentration of total curvature of minimal surfaces in \(\mathbb {H}^2\times \mathbb R\) ⋮ Asymptotic plateau problem in $\mathbb{H}^2x\mathbb{R}$: Tall curves ⋮ Isoperimetric inequalities and regularity of \(a\)-harmonic functions on surfaces ⋮ Convexity at infinity in Cartan-Hadamard manifolds and applications to the asymptotic Dirichlet and Plateau problems ⋮ Asymptotic Plateau problem for prescribed mean curvature hypersurfaces ⋮ Minimal surfaces with arbitrary topology in \(\mathbb{H}^2\times\mathbb{R}\) ⋮ On the asymptotic plateau problem in \(\widetilde{\mathrm{SL}}_2 (\mathbb{R})\) ⋮ Families of minimal surfaces in \(\mathbb{H}^2 \times \mathbb{R}\) foliated by arcs and their Jacobi fields ⋮ Properly embedded minimal annuli in \(\mathbb{H}^2 \times \mathbb{R}\) ⋮ On the asymptotic plateau problem for area minimizing surfaces in \({\mathbb{E}}(-1,\tau )\)

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