Collars and partitions of hyperbolic cone-surfaces

Details Collars and partitions of hyperbolic cone-surfaces Collars and partitions of hyperbolic cone-surfaces

2004-05-07

arxiv.org/abs/math/0405129v2

Mathematics

Differential Geometry

11 pages, 9 figures; v2: minor changes, to appear in Geometriae Dedicata

Scientific paper

10.1007/s10711-007-9172-6

For compact Riemann surfaces, the collar theorem and Bers' partition theorem are major tools for working with simple closed geodesics. The main goal of this paper is to prove similar theorems for hyperbolic cone-surfaces. Hyperbolic two-dimensional orbifolds are a particular case of such surfaces. We consider all cone angles to be strictly less than $\pi$ to be able to consider partitions.

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