Geodesic
Hyperbolic relatively hyperbolic graphs and disk graphs
Ursula Hamenstädt1 orcid
1Universität Bonn, Germany
Groups, geometry, and dynamics, Tome 10 (2016) no. 1, pp. 365-405

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DOI

We show that a relatively hyperbolic graph with uniformly hyperbolic peripheral subgraphs is hyperbolic. As an application, we show that the disk graph and the electrified disk graph of a handlebody H of genus g≥2 are hyperbolic, and we determine their Gromov boundaries.
DOI : 10.4171/ggd/352
Classification : 05-XX, 20-XX, 57-XX
Mots-clés : Hyperbolicity, relatively hyperbolic graph, handlebody, disk graph

Ursula Hamenstädt  1

1 Universität Bonn, Germany 
Ursula Hamenstädt. Hyperbolic relatively hyperbolic graphs and disk graphs. Groups, geometry, and dynamics, Tome 10 (2016) no. 1, pp. 365-405. doi: 10.4171/ggd/352
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     title = {Hyperbolic relatively hyperbolic graphs and disk graphs},
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     year = {2016},
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     number = {1},
     doi = {10.4171/ggd/352},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ggd/352/}
}
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