Binormal Motion of Curves with Constant Torsion in 3-Spaces

We study curve motion by the binormal flow with curvature and torsion depending velocity and sweeping out immersed surfaces. Using the Gauss-Codazzi equations, we obtain filaments evolving with constant torsion which arise from extremal curves of curvature energy functionals. They are "soliton&...

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Detalles Bibliográficos
Autores: Arroyo Olea, Yosu, Garay Bengoechea, Oscar Jesús, Pámpano Llarena, Álvaro
Tipo de recurso: artículo
Fecha de publicación:2017
País:España
Institución:Universidad del País Vasco
Repositorio:Addi. Archivo Digital para la Docencia y la Investigación
OAI Identifier:oai:addi.ehu.eus:10810/27120
Acceso en línea:http://hdl.handle.net/10810/27120
Access Level:acceso abierto
Palabra clave:curvature
equation
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spelling Binormal Motion of Curves with Constant Torsion in 3-SpacesArroyo Olea, YosuGaray Bengoechea, Oscar JesúsPámpano Llarena, ÁlvarocurvatureequationWe study curve motion by the binormal flow with curvature and torsion depending velocity and sweeping out immersed surfaces. Using the Gauss-Codazzi equations, we obtain filaments evolving with constant torsion which arise from extremal curves of curvature energy functionals. They are "soliton" solutions in the sense that they evolve without changing shape.This research was supported by MINECO-FEDER Grant MTM2014-54804-P, Gobierno Vasco Grant IT1094-16, and UPV/EHU GIU13/08, Spain. Alvaro Pampano has been supported by Programa Predoctoral de Formacion de Personal Investigador No Doctor, Gobierno Vasco, 2015.Hindawi201820182017info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10810/27120reponame:Addi. Archivo Digital para la Docencia y la Investigacióninstname:Universidad del País VascoInglésinfo:eu-repo/grantAgreement/MINECO/MTM2014-54804-P/https://www.hindawi.com/journals/amp/2017/7075831/info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/3.0/es/2017 Josu Arroyo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.Atribución 3.0 Españaoai:addi.ehu.eus:10810/271202026-06-18T09:23:17Z
dc.title.none.fl_str_mv Binormal Motion of Curves with Constant Torsion in 3-Spaces
title Binormal Motion of Curves with Constant Torsion in 3-Spaces
spellingShingle Binormal Motion of Curves with Constant Torsion in 3-Spaces
Arroyo Olea, Yosu
curvature
equation
title_short Binormal Motion of Curves with Constant Torsion in 3-Spaces
title_full Binormal Motion of Curves with Constant Torsion in 3-Spaces
title_fullStr Binormal Motion of Curves with Constant Torsion in 3-Spaces
title_full_unstemmed Binormal Motion of Curves with Constant Torsion in 3-Spaces
title_sort Binormal Motion of Curves with Constant Torsion in 3-Spaces
dc.creator.none.fl_str_mv Arroyo Olea, Yosu
Garay Bengoechea, Oscar Jesús
Pámpano Llarena, Álvaro
author Arroyo Olea, Yosu
author_facet Arroyo Olea, Yosu
Garay Bengoechea, Oscar Jesús
Pámpano Llarena, Álvaro
author_role author
author2 Garay Bengoechea, Oscar Jesús
Pámpano Llarena, Álvaro
author2_role author
author
dc.subject.none.fl_str_mv curvature
equation
topic curvature
equation
description We study curve motion by the binormal flow with curvature and torsion depending velocity and sweeping out immersed surfaces. Using the Gauss-Codazzi equations, we obtain filaments evolving with constant torsion which arise from extremal curves of curvature energy functionals. They are "soliton" solutions in the sense that they evolve without changing shape.
publishDate 2017
dc.date.none.fl_str_mv 2017
2018
2018
dc.type.none.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10810/27120
url http://hdl.handle.net/10810/27120
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv info:eu-repo/grantAgreement/MINECO/MTM2014-54804-P/
https://www.hindawi.com/journals/amp/2017/7075831/
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/3.0/es/
Atribución 3.0 España
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/3.0/es/
Atribución 3.0 España
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Hindawi
publisher.none.fl_str_mv Hindawi
dc.source.none.fl_str_mv reponame:Addi. Archivo Digital para la Docencia y la Investigación
instname:Universidad del País Vasco
instname_str Universidad del País Vasco
reponame_str Addi. Archivo Digital para la Docencia y la Investigación
collection Addi. Archivo Digital para la Docencia y la Investigación
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,301603

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