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

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

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Álvaro Krüger Ramos, UFRGS-Brazil

Please note special time:  2:00.    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 a totally umbilic annulus, properly embedded in $N$.