Rigidit\'{e} infinit\'{e}simale de c\^{o}nes-vari\'{e}t\'{e}s Einstein \`{a} courbure n\'{e}gative
Differential Geometry
2016-08-16 v1
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.
Cite
@article{arxiv.math/0503195,
title = {Rigidit\'{e} infinit\'{e}simale de c\^{o}nes-vari\'{e}t\'{e}s Einstein \`{a} courbure n\'{e}gative},
author = {Grégoire Montcouquiol},
journal= {arXiv preprint arXiv:math/0503195},
year = {2016}
}
Comments
33p, in french