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- W3041270038 abstract "We construct for every connected surface $S$ of finite negative Euler characteristic and every $H in [0,1)$, a hyperbolic 3-manifold $N(S,H)$ of finite volume and a proper, two-sided, totally umbilic embedding $fcolon Sto N(S,H)$ with mean curvature $H$. Conversely, we prove that a complete, totally umbilic surface with mean curvature $H in [0,1)$ embedded in a hyperbolic 3-manifold of finite volume must be proper and have finite negative Euler characteristic." @default.
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- W3041270038 date "2020-07-07" @default.
- W3041270038 modified "2023-09-27" @default.
- W3041270038 title "Totally umbilic surfaces in hyperbolic 3-manifolds of finite volume" @default.
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