Minimal Graphs in $PSL_2$
Rami Younes Université François-Rabelais, Tours
The 3-dimensional Lie group $\widetilde{PSL_2(R)}$ is a Riemannian fiberation over the hyperbolic plane, with a 4-dimensional isometry group. We give a description of this isometry group and describe the minimal surfaces invariant under 1-parameter subgroups. We then establish sufficient machinary to show a Jenkins-Serrin type theorem in this space.