Autor(es):
Gracio, Clara 
; Ramos, José Sousa
Data: 2010
Identificador Persistente: http://hdl.handle.net/10174/6775
Origem: Repositório Científico da Universidade de Évora
Assunto(s): geodesic
Detalhes do Documento
Geodesic length spectrum on compact Riemann surfaces
Descrição
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.
Tipo de Documento
Artigo
Idioma Inglês
Idioma Inglês
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