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Rigidité infinitésimale de cônes-variétés Einstein à courbure négative

Grégoire Montcouquiol
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Abstract

Starting with a compact hyperbolic cone-manifold of dimension greater than or equal to 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 pi, we show that there is no non-trivial infinitesimal Einstein deformations preserving the cone angles.

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Grégoire Montcouquiol. 2005-03-10. Rigidité infinitésimale de cônes-variétés Einstein à courbure négative. https://arxiv.org/abs/math/0503195

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