Minimal surfaces in finite volume hyperbolic 3-manifolds N and in M × S1, M a finite area hyperbolic surface

DOI10.1353/ajm.2018.0024zbMath1410.53060arXiv1304.1773OpenAlexW2963811055MaRDI QIDQ4583290

Harold Rosenberg, Pascal Collin, Laurent Hauswirth

Publication date: 28 August 2018

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

Full work available at URL: https://arxiv.org/abs/1304.1773

zbMATH Keywords

minimal surfacehyperbolic 3-manifoldtotal curvature

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) General geometric structures on low-dimensional manifolds (57M50)

Related Items (4)

On the characterization of minimal surfaces with finite total curvature in \({\mathbb {H}}^2\times {\mathbb {R}}\) and \(\widetilde{\mathrm{PSL}}_2 ({\mathbb {R}})\) ⋮ The slab theorem for minimal surfaces in \(\mathbb {E}(-1,\tau)\) ⋮ A nonexistence result for CMC surfaces in hyperbolic 3-manifolds ⋮ Area estimates and rigidity of non-compact 𝐻-surfaces in 3-manifolds

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