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Surfaces convexes fuchsiennes dans les espaces lorentziens à courbure constante

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Abstract.

We show existence and uniqueness of the equivariant isometric immersions of Riemannian surfaces into Lorentz space-forms under conditions implying convexity, when we impose that the associated representations leave a point invariant.

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Authors and Affiliations

  1. Mathématiques, (CNRS, UMR 8628), Bât. 425, Université de Paris-Sud, F-91405 Orsay Cedex, France (e-mail: francois.labourie[jean-marc.schlenker]@math.u-psud.fr) , , , , , , FR

    François Labourie & Jean-Marc Schlenker

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  1. François Labourie
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  2. Jean-Marc Schlenker
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Received: 2 December 1995

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Labourie, F., Schlenker, JM. Surfaces convexes fuchsiennes dans les espaces lorentziens à courbure constante. Math Ann 316, 465–483 (2000). https://doi.org/10.1007/s002080050339

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  • DOI: https://doi.org/10.1007/s002080050339

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