Properly immersed minimal surfaces of finite topology in a complete hyperbolic 3-manifold of finite volume, or in $M\times\mathbb{S}^1$, $M$ a complete hyperbolic surface of finite area.
Harold Rosenberg Instituto Nacional de Matemática Pura e Aplicada
We prove that minimal surfaces as above have finite total curvature equal to 2pi times the Euler characteristic, and we describe the asymptotic geometry of the ends. This is joint work with Pascal Collin and Laurent Hauswirth.