CONVEX PROJECTIVE GENERALIZED DEHN FILLINGReport as inadecuate




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1 KAIST - Korea Advanced Institute of Science and Technology 2 Universität Heidelberg Heidelberg 3 IRMAR - Institut de Recherche Mathématique de Rennes

Abstract : In dimension $d = 4, 5, 6, 7$, we find the first examples of complete finite volume hyperbolic $d$-dimensional manifolds $M$ with cusps such that an infinite number of orbifolds $M m$ obtained by generalized Dehn fillings on $M$ admit a properly convex real projective structure. The manifolds $M$ are covering of hyperbolic Coxeter orbifolds and the orbifold fundamental groups $\Gamma m$ of $M m$ are Gromov hyperbolic relative to a collection of subgroups virtually isomorphic to $\mathbb{Z}^{d−2}.

Keywords : Coxeter group Hilbert Geometry Dehn Filling Real projective structure Orbifold





Author: Suhyoung Choi - Gye-Seon Lee - Ludovic Marquis -

Source: https://hal.archives-ouvertes.fr/



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