The lewowicz number of linear diffeomorphisms on the torus

We prove that 2 is a Lewowicz number of every linear Anosov diffeomorphism on the torus. This result is independent of any linear metric and provides an explicit Lyapounov function for the diffeomorfisms.

Autores:
Guiñez, Jorge
Rueda, Ángel D.
Tipo de recurso:
Article of journal
Fecha de publicación:
1996
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/43649
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/43649
http://bdigital.unal.edu.co/33747/
Palabra clave:
Manifold
Riemannian manifold
Anosov diffeomorphism
quadratic form
positive definite quadratic form
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
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oai_identifier_str oai:repositorio.unal.edu.co:unal/43649
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repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Guiñez, Jorgeac4af22e-db4d-499e-ac8c-8a28d3f59bbe300Rueda, Ángel D.c42bbf47-cf4b-4c54-b00b-c4b4602ca04c3002019-06-28T12:15:26Z2019-06-28T12:15:26Z1996https://repositorio.unal.edu.co/handle/unal/43649http://bdigital.unal.edu.co/33747/We prove that 2 is a Lewowicz number of every linear Anosov diffeomorphism on the torus. This result is independent of any linear metric and provides an explicit Lyapounov function for the diffeomorfisms.application/pdfspaUniversidad Nacuional de Colombia; Sociedad Colombiana de matemáticashttp://revistas.unal.edu.co/index.php/recolma/article/view/33646Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de MatemáticasRevista Colombiana de MatemáticasRevista Colombiana de Matemáticas; Vol. 30, núm. 1 (1996); 65-69 0034-7426Guiñez, Jorge and Rueda, Ángel D. (1996) The lewowicz number of linear diffeomorphisms on the torus. Revista Colombiana de Matemáticas; Vol. 30, núm. 1 (1996); 65-69 0034-7426 .The lewowicz number of linear diffeomorphisms on the torusArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTManifoldRiemannian manifoldAnosov diffeomorphismquadratic formpositive definite quadratic formORIGINAL33646-125146-1-PB.pdfapplication/pdf1772637https://repositorio.unal.edu.co/bitstream/unal/43649/1/33646-125146-1-PB.pdfddfef97cd36073490f39a0cd7f608e73MD51THUMBNAIL33646-125146-1-PB.pdf.jpg33646-125146-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg6958https://repositorio.unal.edu.co/bitstream/unal/43649/2/33646-125146-1-PB.pdf.jpgc584ccdfa9a0cb61c7156febe537b91aMD52unal/43649oai:repositorio.unal.edu.co:unal/436492023-02-13 23:04:49.062Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv The lewowicz number of linear diffeomorphisms on the torus
title The lewowicz number of linear diffeomorphisms on the torus
spellingShingle The lewowicz number of linear diffeomorphisms on the torus
Manifold
Riemannian manifold
Anosov diffeomorphism
quadratic form
positive definite quadratic form
title_short The lewowicz number of linear diffeomorphisms on the torus
title_full The lewowicz number of linear diffeomorphisms on the torus
title_fullStr The lewowicz number of linear diffeomorphisms on the torus
title_full_unstemmed The lewowicz number of linear diffeomorphisms on the torus
title_sort The lewowicz number of linear diffeomorphisms on the torus
dc.creator.fl_str_mv Guiñez, Jorge
Rueda, Ángel D.
dc.contributor.author.spa.fl_str_mv Guiñez, Jorge
Rueda, Ángel D.
dc.subject.proposal.spa.fl_str_mv Manifold
Riemannian manifold
Anosov diffeomorphism
quadratic form
positive definite quadratic form
topic Manifold
Riemannian manifold
Anosov diffeomorphism
quadratic form
positive definite quadratic form
description We prove that 2 is a Lewowicz number of every linear Anosov diffeomorphism on the torus. This result is independent of any linear metric and provides an explicit Lyapounov function for the diffeomorfisms.
publishDate 1996
dc.date.issued.spa.fl_str_mv 1996
dc.date.accessioned.spa.fl_str_mv 2019-06-28T12:15:26Z
dc.date.available.spa.fl_str_mv 2019-06-28T12:15:26Z
dc.type.spa.fl_str_mv Artículo de revista
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/43649
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/33747/
url https://repositorio.unal.edu.co/handle/unal/43649
http://bdigital.unal.edu.co/33747/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/recolma/article/view/33646
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Revista Colombiana de Matemáticas
Revista Colombiana de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Revista Colombiana de Matemáticas; Vol. 30, núm. 1 (1996); 65-69 0034-7426
dc.relation.references.spa.fl_str_mv Guiñez, Jorge and Rueda, Ángel D. (1996) The lewowicz number of linear diffeomorphisms on the torus. Revista Colombiana de Matemáticas; Vol. 30, núm. 1 (1996); 65-69 0034-7426 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
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dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
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dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Universidad Nacuional de Colombia; Sociedad Colombiana de matemáticas
institution Universidad Nacional de Colombia
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