The Existence of Quasimeromorphic Mappings

Details The Existence of Quasimeromorphic Mappings The Existence of Quasimeromorphic Mappings

2004-04-30

arxiv.org/abs/math/0405002v1

Mathematics

Complex Variables

13 pages, 2 figures

Scientific paper

We prove that a Kleinian group $G$ acting upon $\mathbb{H}^{n}$ admits a
non-constant $G$-automorphic function, even if it has torsion elements,
provided that the orders of the elliptic (torsion) elements are uniformly
bounded. This is accomplished by developing a technique for mashing distinct
fat triangulations while preserving fatness.

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