Author(s):
Gracio, Clara 
; Ramos, José Sousa
Date: 2010
Persistent ID: http://hdl.handle.net/10174/6775
Origin: Repositório Científico da Universidade de Évora
Subject(s): geodesic
Document details
Geodesic length spectrum on compact Riemann surfaces
Description
In this paper we use techniques linking combinatorial structures (symbolic dynamics) and algebraic-geometric structures to study the variation of the geodesic length spectrum, with the Fenchel-Nielsen coordinates, which parametrize the surface of genus τ = 2. We explicitly compute length spectra, for all closed orientable hyperbolic genus two surfaces, identifying the exponential growth rate and the first terms of growth series.
In this paper we use techniques linking combinatorial structures (symbolic dynamics) and algebraic-geometric structures to study the variation of the geodesic length spectrum, with the Fenchel-Nielsen coordinates, which parametrize the surface of genus τ = 2. We explicitly compute length spectra, for all closed orientable hyperbolic genus two surfaces, identifying the exponential growth rate and the first terms of growth series.
Document Type
Article
Language English
Language English
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