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SUMMARY:Exemples de variétés d'Einstein compactes de dimension 4 à cour
bure négative
DTSTART;VALUE=DATE-TIME:20200214T130000Z
DTEND;VALUE=DATE-TIME:20200214T140000Z
DTSTAMP;VALUE=DATE-TIME:20220116T213557Z
UID:indico-event-5646@indico.math.cnrs.fr
DESCRIPTION:We construct new examples of closed\, negatively curved\, not
locally homogeneous Einstein four-manifolds. Topologically\, the manifolds
we consider are of two types: quotients by the action of a dihedral group
of symmetric closed hyperbolic four-manifolds on the one hand\, and ramif
ied covers over hyperbolic manifolds with symmetries on the other hand. We
produce an Einstein metric on such manifolds via a glueing procedure. We
first find an approximate Einstein metric that we obtain as the interpolat
ion\, at large distances\, between a Riemannian Kottler metric and the hyp
erbolic metric. We then deform it\, in the Bianchi gauge\, into a genuine
solution of Einstein’s equations. The constructions described in this ta
lk are a joint work with J. Fine (ULB).\n\nhttps://indico.math.cnrs.fr/eve
nt/5646/
LOCATION:Bât E2 1180
URL:https://indico.math.cnrs.fr/event/5646/
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