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Properly immersed CMC surfaces in hyperbolic 3-manifolds of finite volume

Differential Geometry & Geometric Analysis Seminar

Properly immersed CMC surfaces in hyperbolic 3-manifolds of finite volume

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脕lvaro Kr眉ger Ramos, UFRGS-Brazil

Please note special time: 听2:00. 听 听If $N$ is a noncompact hyperbolic 3-manifold of finite volume and $\Sigma$ is a properly immersed surface of finite topology with nonnegative constant mean curvature less than 1, then we prove that each end of $\Sigma$ is asymptotic (with finite positive multiplicity) to听a totally umbilic annulus, properly embedded in $N$.