Existence of least area planes in hyperbolic 3-space with co-compact metric.

DOI10.1016/J.TOP.2003.10.006zbMath1058.53052OpenAlexW2087495046MaRDI QIDQ1430399

Teruhiko Soma

Publication date: 27 May 2004

Published in: Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.top.2003.10.006

zbMATH Keywords

\(D^2\)-limit laminationHyperbolic 3-spaceLeast area plane

Mathematics Subject Classification ID

Covering spaces and low-dimensional topology (57M10) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) General geometric structures on low-dimensional manifolds (57M50)

Related Items (4)

Number of least area planes in Gromov hyperbolic $3$-spaces ⋮ Properly embedded least area planes in Gromov hyperbolic $3$-spaces ⋮ Scott’s rigidity theorem for Seifert fibered spaces; revisited ⋮ Least area planes in Gromov hyperbolic 3-spaces with co-compact metric

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