Rigidité infinitésimale de cônes-variétés Einstein à courbure négative

Details Rigidité infinitésimale de cônes-variétés Einstein à courbure négative Rigidité infinitésimale de cônes-variétés Einstein à courbure négative

2005-03-10

arxiv.org/abs/math/0503195v1

Mathematics

Differential Geometry

33p, in french

Scientific paper

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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