The first eigenvalue of the Laplacian and the ground flow of a compact surface

Detalhes bibliográficos
Autor(a) principal: Grácio, Clara
Data de Publicação: 2004
Outros Autores: Ramos, José Sousa
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10174/6760
Resumo: We present some results whose central theme is that the phenomenon of the first eigenvalue of the Laplacian and the ground flow of the compact surface (bitorus). Our main tool is a method for studying how the hyperbolic metric on a Riemann surface behaves under deformation of the surface. With this model, we show that there are variation of the first eigenvalue of the Laplacian and the ground flow with the Fenchel-Nielsen coordinates, that characterize the surface.
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spelling The first eigenvalue of the Laplacian and the ground flow of a compact surfacegrounf-flowWe present some results whose central theme is that the phenomenon of the first eigenvalue of the Laplacian and the ground flow of the compact surface (bitorus). Our main tool is a method for studying how the hyperbolic metric on a Riemann surface behaves under deformation of the surface. With this model, we show that there are variation of the first eigenvalue of the Laplacian and the ground flow with the Fenchel-Nielsen coordinates, that characterize the surface.Centro de Geofísica de Évora, Évora University, ISBN: 972-778-073-32012-12-10T12:09:38Z2012-12-102004-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10174/6760http://hdl.handle.net/10174/6760engC Gracio anda J S Ramos,The first eigenvalue of the Laplacian and the ground flow of a compact surface , Gallas, J., M. Bezzeghoud, P. Lind and J. Corte Real, 2004. The 12th International on Nonlinear Dynamics of Electronic Systems, NDES 2004. Published by Centro de Geofísica de Évora, Évora University, ISBN: 972-778-073-3mgracio@uevora.ptnd721Grácio, ClaraRamos, José Sousainfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-01-03T18:46:26Zoai:dspace.uevora.pt:10174/6760Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T01:01:28.383755Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv The first eigenvalue of the Laplacian and the ground flow of a compact surface
title The first eigenvalue of the Laplacian and the ground flow of a compact surface
spellingShingle The first eigenvalue of the Laplacian and the ground flow of a compact surface
Grácio, Clara
grounf-flow
title_short The first eigenvalue of the Laplacian and the ground flow of a compact surface
title_full The first eigenvalue of the Laplacian and the ground flow of a compact surface
title_fullStr The first eigenvalue of the Laplacian and the ground flow of a compact surface
title_full_unstemmed The first eigenvalue of the Laplacian and the ground flow of a compact surface
title_sort The first eigenvalue of the Laplacian and the ground flow of a compact surface
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 grounf-flow
topic grounf-flow
description We present some results whose central theme is that the phenomenon of the first eigenvalue of the Laplacian and the ground flow of the compact surface (bitorus). Our main tool is a method for studying how the hyperbolic metric on a Riemann surface behaves under deformation of the surface. With this model, we show that there are variation of the first eigenvalue of the Laplacian and the ground flow with the Fenchel-Nielsen coordinates, that characterize the surface.
publishDate 2004
dc.date.none.fl_str_mv 2004-01-01T00:00:00Z
2012-12-10T12:09:38Z
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/10174/6760
http://hdl.handle.net/10174/6760
url http://hdl.handle.net/10174/6760
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv C Gracio anda J S Ramos,The first eigenvalue of the Laplacian and the ground flow of a compact surface , Gallas, J., M. Bezzeghoud, P. Lind and J. Corte Real, 2004. The 12th International on Nonlinear Dynamics of Electronic Systems, NDES 2004. Published by Centro de Geofísica de Évora, Évora University, ISBN: 972-778-073-3
mgracio@uevora.pt
nd
721
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv Centro de Geofísica de Évora, Évora University, ISBN: 972-778-073-3
publisher.none.fl_str_mv Centro de Geofísica de Évora, Évora University, ISBN: 972-778-073-3
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
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reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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