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- W3092239918 abstract "We study in this paper quasiperiodic maximal surfaces in pseudo-hyperbolic spaces and show that they are characterised by a curvature condition, Gromov hyperbolicity or conformal hyperbolicity. We show that the limit curves of these surfaces in the Einstein Universe admits a canonical quasisymmetric parametrisation, while conversely every quasisymmetric curve in the Einstein Universe bounds a quasiperiodic surface in such a way that the quasisymmetric parametrisation is a continuous extension of the uniformisation; we give applications of these results to asymptotically hyperbolic surfaces, rigidity of Anosov representations and a version of the universal Teichmüller space." @default.
- W3092239918 created "2020-10-15" @default.
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- W3092239918 date "2023-03-20" @default.
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- W3092239918 title "Quasicircles and quasiperiodic surfaces in pseudo-hyperbolic spaces" @default.
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- W3092239918 doi "https://doi.org/10.1007/s00222-023-01182-9" @default.
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