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Minimal immersions of closed surfaces in hyperbolic three-manifolds
Minimal immersions closed surfaces in hyperbolic three-manifolds
2010/11/11
We study minimal immersions of closed surfaces (of genus $g \ge 2$) in hyperbolic 3-manifolds, with prescribed data $(\sigma, t\alpha)$, where $\sigma$ is a conformal structure on a topological surfac...
Area minimizers and boundary rigidity of almost hyperbolic metrics
Area minimizers boundary rigidity hyperbolic metrics
2010/11/12
This paper is a continuation of our paper about boundary rigidity and filling minimality of metrics close to flat ones. We show that compact regions close to a hyperbolic one are boundary distance rig...