Abstract
Starting with a compact hyperbolic cone-manifold of dimension n ⩾ 3 , we study the deformations of the metric with the aim of getting Einstein cone-manifolds. If the singular locus is a closed codimension 2 submanifold and all cone angles are smaller than 2 π, we show that there is no non-trivial infinitesimal Einstein deformations preserving the cone angles. To cite this article: G. Montcouquiol, C. R. Acad. Sci. Paris, Ser. I 340 (2005).
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