On the new approach for the energy of elastica

Detalhes bibliográficos
Autor(a) principal: Körpınar, Talat
Data de Publicação: 2018
Outros Autores: Demirkol, Rıdvan Cem
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Acta scientiarum. Technology (Online)
Texto Completo: http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/35493
Resumo:  In this work, we firstly describe conditions for being elastica in Minkowski space E41. Then we investigate the energy of the elastic curves and exploit its relationship with the energy of Bishop vectors belong to that elastic curves E41. Finally, we characterize non-elastic curves in E41 and compute their energy to see the distinction between energies for the curves of elastic and non-elastic case in Minkowski space E41.Mathematics Subject Classifications: 53C41, 53A10. 
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spelling On the new approach for the energy of elasticaenergyMinkowski spaceelastic curvesparallel vector fields.53C4153A10 In this work, we firstly describe conditions for being elastica in Minkowski space E41. Then we investigate the energy of the elastic curves and exploit its relationship with the energy of Bishop vectors belong to that elastic curves E41. Finally, we characterize non-elastic curves in E41 and compute their energy to see the distinction between energies for the curves of elastic and non-elastic case in Minkowski space E41.Mathematics Subject Classifications: 53C41, 53A10. Universidade Estadual De Maringá2018-04-26info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/3549310.4025/actascitechnol.v40i1.35493Acta Scientiarum. Technology; Vol 40 (2018): Publicação Contínua; e35493Acta Scientiarum. Technology; v. 40 (2018): Publicação Contínua; e354931806-25631807-8664reponame:Acta scientiarum. Technology (Online)instname:Universidade Estadual de Maringá (UEM)instacron:UEMenghttp://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/35493/pdfCopyright (c) 2018 Acta Scientiarum. Technologyinfo:eu-repo/semantics/openAccessKörpınar, TalatDemirkol, Rıdvan Cem2019-07-17T11:53:47Zoai:periodicos.uem.br/ojs:article/35493Revistahttps://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/indexPUBhttps://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/oai||actatech@uem.br1807-86641806-2563opendoar:2019-07-17T11:53:47Acta scientiarum. Technology (Online) - Universidade Estadual de Maringá (UEM)false
dc.title.none.fl_str_mv On the new approach for the energy of elastica
title On the new approach for the energy of elastica
spellingShingle On the new approach for the energy of elastica
Körpınar, Talat
energy
Minkowski space
elastic curves
parallel vector fields.
53C41
53A10
title_short On the new approach for the energy of elastica
title_full On the new approach for the energy of elastica
title_fullStr On the new approach for the energy of elastica
title_full_unstemmed On the new approach for the energy of elastica
title_sort On the new approach for the energy of elastica
author Körpınar, Talat
author_facet Körpınar, Talat
Demirkol, Rıdvan Cem
author_role author
author2 Demirkol, Rıdvan Cem
author2_role author
dc.contributor.author.fl_str_mv Körpınar, Talat
Demirkol, Rıdvan Cem
dc.subject.por.fl_str_mv energy
Minkowski space
elastic curves
parallel vector fields.
53C41
53A10
topic energy
Minkowski space
elastic curves
parallel vector fields.
53C41
53A10
description  In this work, we firstly describe conditions for being elastica in Minkowski space E41. Then we investigate the energy of the elastic curves and exploit its relationship with the energy of Bishop vectors belong to that elastic curves E41. Finally, we characterize non-elastic curves in E41 and compute their energy to see the distinction between energies for the curves of elastic and non-elastic case in Minkowski space E41.Mathematics Subject Classifications: 53C41, 53A10. 
publishDate 2018
dc.date.none.fl_str_mv 2018-04-26
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/35493
10.4025/actascitechnol.v40i1.35493
url http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/35493
identifier_str_mv 10.4025/actascitechnol.v40i1.35493
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv http://www.periodicos.uem.br/ojs/index.php/ActaSciTechnol/article/view/35493/pdf
dc.rights.driver.fl_str_mv Copyright (c) 2018 Acta Scientiarum. Technology
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Copyright (c) 2018 Acta Scientiarum. Technology
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidade Estadual De Maringá
publisher.none.fl_str_mv Universidade Estadual De Maringá
dc.source.none.fl_str_mv Acta Scientiarum. Technology; Vol 40 (2018): Publicação Contínua; e35493
Acta Scientiarum. Technology; v. 40 (2018): Publicação Contínua; e35493
1806-2563
1807-8664
reponame:Acta scientiarum. Technology (Online)
instname:Universidade Estadual de Maringá (UEM)
instacron:UEM
instname_str Universidade Estadual de Maringá (UEM)
instacron_str UEM
institution UEM
reponame_str Acta scientiarum. Technology (Online)
collection Acta scientiarum. Technology (Online)
repository.name.fl_str_mv Acta scientiarum. Technology (Online) - Universidade Estadual de Maringá (UEM)
repository.mail.fl_str_mv ||actatech@uem.br
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