Mathematica Eterna

Mathematica Eterna
Open Access

ISSN: 1314-3344



Length spectra and systole for a set of closed hyperbolic surface in genus 2

Emmanuel Philippe

In this paper we determine the length of the two shortest closed geodesics for closed hyperbolic surface of genus 2 without twist in the Fenchel-Nielsen coordinates (in a specific pants decomposition). We also give systole in other cases.