paper

Collars and partitions of hyperbolic cone-surfaces

arXiv:math/0405129 · doi:10.1007/s10711-007-9172-6

Abstract

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 to be able to consider partitions.

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

Collars and partitions of hyperbolic cone-surfaces · wovepaper