Polyhedral metrics on the boundaries of convex compact quasi-Fuchsian manifolds | Zendy

Dmitriy Slutskiy | Zendy

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Polyhedral metrics on the boundaries of convex compact quasi-Fuchsian manifolds

Author(s) -

Dmitriy Slutskiy

Publication year - 2014

Publication title -

comptes rendus mathématique

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.803

H-Index - 68

eISSN - 1778-3569

pISSN - 1631-073X

DOI - 10.1016/j.crma.2014.09.001

Subject(s) - mathematics , boundary (topology) , regular polygon , metric (unit) , manifold (fluid mechanics) , pure mathematics , compact space , combinatorics , convex body , mathematical analysis , geometry , convex hull , mechanical engineering , operations management , engineering , economics

International audienceWe show the existence of a convex compact subset in a quasi-Fuchsian manifold such that the induced metric on the boundary of the subset coincides with a prescribed hyperbolic polyhedral metric. On demontre l'existence d'un sous-ensemble convexe compact dans une variété quasi-fuchsienne tel que la métrique induite de bord du sous-ensemble soit une métrique polyèdrale hyperbolique prescrite

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