Properly embedded least area planes in Gromov hyperbolic $3$-spaces

DOI10.1090/S0002-9939-07-09214-3zbMath1131.53029arXivmath/0609099WikidataQ125659476 ScholiaQ125659476MaRDI QIDQ5441184

Baris Coskunuzer

Publication date: 8 February 2008

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609099

zbMATH Keywords

embedded least area planeGabai's conjecture

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) General geometric structures on low-dimensional manifolds (57M50)

Related Items (1)

Number of least area planes in Gromov hyperbolic $3$-spaces

Cites Work

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• Existence of least area planes in hyperbolic 3-space with co-compact metric.
• The asymptotic Plateau problem in Gromov hyperbolic manifolds.
• Uniform 1-cochains and genuine laminations
• Least area planes in Gromov hyperbolic 3-spaces with co-compact metric
• The Existence of Least Area Surfaces in 3-Manifolds
• The Boundary of Negatively Curved Groups
• On the geometric and topological rigidity of hyperbolic 3-manifolds

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