Descripción
**Fecha de inicio**: 04/06/2013. **Fecha de fin**: 06/06/2013. **Hora de inicio:** 11:00.
We obtain 2 and 3 parameter families of new minimal surfaces in the hyperbolic space H3, by applying Darboux transformations i.e., conformal Ribaucour transformations, to Mori’s spherical catenoids in H3. Depending on the values of the parameters, the minimal surfaces can have any finite number of closed curves in the boundary at infinity of H3 or an infinite number of such curves. In particular, we obtain minimal surfaces periodic in one variable, with certain symmetries, whose parametrization is defined in R2 \ C , where C is either a disjoint union of Jordan curves or a non closed regular curve. A connected region bounded by such a Jordan curve, generates a complete minimal surface, whose boundary at infinity of H3 is a closed curve. A connected unbounded domain of R2 \ C generates a non complete immersed minimal surface whose boundary at infinity consists of a finite number of closed curves.