Abstract
We study minimal graphs in the homogeneous Riemannian 3-manifold $\widetilde{\mathit{PSL}_{2}(\mathbb{R})}$ and we give examples of invariant surfaces. We derive a gradient estimate for solutions of the minimal surface equation in this space and develop the machinery necessary to prove a Jenkins-Serrin type theorem for solutions defined over bounded domains of the hyperbolic plane.
Citation
Rami Younes. "Minimal surfaces in $\widetilde{\mathit{PSL}_{2}(\mathbb{R})}$." Illinois J. Math. 54 (2) 671 - 712, Summer 2010. https://doi.org/10.1215/ijm/1318598677
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