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- W4297660060 abstract "Let $C$ be a strictly convex domain in a $3$-dimensional Riemannian manifold with sectional curvature bounded above by a constant and let $Sigma$ be a constant mean curvature surface with free boundary in $C$. We provide a pinching condition on the length of the traceless second fundamental form on $Sigma$ which guarantees that the surface is homeomorphic to either a disk or an annulus. Furthermore, under the same pinching condition, we prove that if $C$ is a geodesic ball of $3$-dimensional space forms, then $Sigma$ is either a spherical cap or a Delaunay surface." @default.
- W4297660060 created "2022-09-30" @default.
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- W4297660060 creator A5065022979 @default.
- W4297660060 date "2021-07-13" @default.
- W4297660060 modified "2023-09-26" @default.
- W4297660060 title "Free boundary constant mean curvature surfaces in a strictly convex three-manifold" @default.
- W4297660060 doi "https://doi.org/10.48550/arxiv.2107.06458" @default.
- W4297660060 hasPublicationYear "2021" @default.
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