Bounding surface actions on hyperbolic spaces

Details Bounding surface actions on hyperbolic spaces Bounding surface actions on hyperbolic spaces

2007-09-17

arxiv.org/abs/0709.2722v3

Mathematics

Group Theory

v3: 5 pages; 2 figures; simplified main result and proof; added new references

Scientific paper

We give a diameter bound for fundamental domains for isometric actions of the
fundamental group of a closed hyperbolic surface on a delta-hyperbolic space,
where the bound depends on the hyperbolicity constant delta, the genus of the
surface, and the injectivity radius of the action, which we assume to be
strictly positive.

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