Rigidity of capillary surfaces in compact 3-manifolds with strictly convex boundary
Sign Up to like & getrecommendations! Published in 2023 at "Proceedings of the Edinburgh Mathematical Society"
DOI: 10.1017/s0013091523000135
Abstract: Abstract In this paper, we obtain one sharp estimate for the length $L(\partial\Sigma)$ of the boundary $\partial\Sigma$ of a capillary minimal surface Σ2 in M3, where M is a compact three-manifolds with strictly convex boundary,… read more here.
Keywords: partial sigma; geometry; convex boundary; strictly convex ... See more keywords
Rigidity of Compact Fuchsian Manifolds with Convex Boundary
Sign Up to like & getrecommendations! Published in 2021 at "International Mathematics Research Notices"
DOI: 10.1093/imrn/rnab270
Abstract: A compact Fuchsian manifold with boundary is a hyperbolic 3-manifold homeomorphic to $S_g \times [0; 1]$ such that the boundary component $S_g \times \{ 0\}$ is geodesic. We prove that a compact Fuchsian manifold with… read more here.
Keywords: fuchsian manifolds; rigidity compact; convex boundary; manifolds convex ... See more keywords