Geodesic length spectrum on compact Riemann surfaces

Bibliographic Details
Main Author: Grácio, Clara
Publication Date: 2010
Other Authors: Ramos, José Sousa
Format: Article
Language: eng
Source: Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
Download full: http://hdl.handle.net/10174/6775
Summary: 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.
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spelling Geodesic length spectrum on compact Riemann surfacesgeodesicIn 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.Journal of Geometry and Physics2012-12-10T12:39:33Z2012-12-102010-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/6775http://hdl.handle.net/10174/6775engClara Grácio e J. Sousa Ramos , “Geodesic length spectrum on compact Riemann surfaces”, Journal of Geometry and Physics, 60, pgs 1643-1655, 2010.mgraciond721Grácio, ClaraRamos, José Sousainfo:eu-repo/semantics/openAccessreponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiainstacron:RCAAP2024-01-03T18:46:22Zoai:dspace.uevora.pt:10174/6775Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireinfo@rcaap.ptopendoar:https://opendoar.ac.uk/repository/71602025-05-28T11:56:19.727779Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologiafalse
dc.title.none.fl_str_mv Geodesic length spectrum on compact Riemann surfaces
title Geodesic length spectrum on compact Riemann surfaces
spellingShingle Geodesic length spectrum on compact Riemann surfaces
Grácio, Clara
geodesic
title_short Geodesic length spectrum on compact Riemann surfaces
title_full Geodesic length spectrum on compact Riemann surfaces
title_fullStr Geodesic length spectrum on compact Riemann surfaces
title_full_unstemmed Geodesic length spectrum on compact Riemann surfaces
title_sort Geodesic length spectrum on compact Riemann surfaces
author Grácio, Clara
author_facet Grácio, Clara
Ramos, José Sousa
author_role author
author2 Ramos, José Sousa
author2_role author
dc.contributor.author.fl_str_mv Grácio, Clara
Ramos, José Sousa
dc.subject.por.fl_str_mv geodesic
topic geodesic
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.
publishDate 2010
dc.date.none.fl_str_mv 2010-01-01T00:00:00Z
2012-12-10T12:39:33Z
2012-12-10
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/10174/6775
http://hdl.handle.net/10174/6775
url http://hdl.handle.net/10174/6775
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Clara Grácio e J. Sousa Ramos , “Geodesic length spectrum on compact Riemann surfaces”, Journal of Geometry and Physics, 60, pgs 1643-1655, 2010.
mgracio
nd
721
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Journal of Geometry and Physics
publisher.none.fl_str_mv Journal of Geometry and Physics
dc.source.none.fl_str_mv reponame:Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
instname:FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron:RCAAP
instname_str FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
instacron_str RCAAP
institution RCAAP
reponame_str Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
collection Repositórios Científicos de Acesso Aberto de Portugal (RCAAP)
repository.name.fl_str_mv Repositórios Científicos de Acesso Aberto de Portugal (RCAAP) - FCCN, serviços digitais da FCT – Fundação para a Ciência e a Tecnologia
repository.mail.fl_str_mv info@rcaap.pt
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