Cannon-Thurston Maps, i-bounded Geometry and a Theorem of McMullen
نویسنده
چکیده
— The notion of i-bounded geometry generalises simultaneously bounded geometry and the geometry of punctured torus Kleinian groups. We show that the limit set of a surface Kleinian group of i-bounded geometry is locally connected by constructing a natural Cannon-Thurston map.
منابع مشابه
Cannon-thurston Maps, I-bounded Geometry and a Theorem of Mcmullen
The notion of i-bounded geometry generalises simultaneously bounded geometry and the geometry of punctured torus Kleinian groups. We show that the limit set of a surface Kleinian group of i-bounded geometry is locally connected by constructing a natural Cannon-Thurston map. This gives a unification, an alternate proof and a generalisation of all known examples of the existence of Cannon-Thursto...
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