A gap theorem for free boundary minimal surfaces in geodesic balls of hyperbolic space and hemisphere
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Publication:1711047
DOI10.1007/s12220-017-9953-6zbMath1408.53081arXiv1701.04981OpenAlexW2582203396MaRDI QIDQ1711047
Publication date: 16 January 2019
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.04981
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)
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Uniqueness of the catenoid and the Delaunay surface via a one-parameter family of touching spheres ⋮ Minimal hypersurfaces in the ball with free boundary ⋮ Uniqueness results for free boundary minimal hypersurfaces in conformally Euclidean balls and annular domains ⋮ Gap results for free boundary CMC surfaces in radially symmetric conformally Euclidean three-balls ⋮ Free boundary constant mean curvature surfaces in a strictly convex three-manifold
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