CONVEX PROJECTIVE GENERALIZED DEHN FILLING

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For d = 4, 5, 6, we exhibit the first examples of complete finite volume hyperbolic d-manifolds M with cusps such that infinitely many d-orbifolds M-m obtained from M by generalized Dehn filling admit properly convex real projective structures. The orbifold fundamental groups of M-m are Gromov-hyperbolic relative to a collection of subgroups virtually isomorphic to Z(d-2) , hence the images of the developing maps of the projective structures on M-m are new examples of divisible properly convex domains of the projective d-space which are not strictly convex, in contrast to the previous examples of Benoist.
Publisher
SOC MATHEMATIQUE FRANCE
Issue Date
2020-02
Language
English
Article Type
Article
Citation

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE, v.53, no.1, pp.217 - 266

ISSN
0012-9593
DOI
10.24033/asens.2421
URI
http://hdl.handle.net/10203/276132
Appears in Collection
MA-Journal Papers(저널논문)
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