Reference : AdS manifolds with particles and earthquakes on singular surfaces |

Scientific journals : Article | |||

Physical, chemical, mathematical & earth Sciences : Mathematics | |||

http://hdl.handle.net/10993/2819 | |||

AdS manifolds with particles and earthquakes on singular surfaces | |

English | |

Bonsante, Francesco [Univ. Pavia > Mathematics] | |

Schlenker, Jean-Marc [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >] | |

2009 | |

Geometric & Functional Analysis | |

Springer Science & Business Media B.V. | |

19 | |

1 | |

41--82 | |

Yes | |

International | |

1016-443X | |

[en] We prove an ``Earthquake theorem'' for closed hyperbolic surfaces with cone
singularities where the total angle is less than $\pi$: the action of the space of measured laminations on Teichm\"uller space by left earthquakes is simply transitive. This is strongly related to another result: the space of ``globally hyperbolic'' AdS manifolds with cone singularities along time-like geodesics is parametrized by the product two copies of Teichm\"uller space with some marked points (corresponding to the cone singularities). | |

Researchers | |

http://hdl.handle.net/10993/2819 |

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