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On Relaxed Elastic Lines of the Second Type on an Oriented Surface in the Galilean Space G3

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dc.authorscopusid15763458800
dc.authorscopusid7003281197
dc.authorscopusid6603610227
dc.contributor.authorSarioğlugìl, A.
dc.contributor.authorStachel, H.
dc.contributor.authorTutar, A.
dc.date.accessioned2020-06-21T13:19:32Z
dc.date.available2020-06-21T13:19:32Z
dc.date.issued2017
dc.departmentOndokuz Mayıs Üniversitesien_US
dc.department-temp[Sarioğlugìl] Ayhan, Department of Mathematics, Ondokuz Mayis Üniversitesi, Samsun, Turkey; [Stachel] Hellmuth, Institute for Discrete Mathematics and Geometry, TU Wien, Vienna, Vienna, Austria; [Tutar] Ayhan, Department of Mathematics, Ondokuz Mayis Üniversitesi, Samsun, Turkey, Department of Mathematics, Kyrgyz-Turkish Manas University, Bishkek, Bishkek, Kyrgyzstanen_US
dc.description.abstractIn the present paper, the relaxed elastic line of the second type on an oriented surface in the Galilean space G<inf>3</inf> is defined. For the relaxed elastic lines of the second type which are lying on a given oriented surface the Euler–Lagrange equations are derived. In particular, we investigate whether they can be geodesic or curvature lines. In the last section we present some examples to confirm our claim. © 2017, Springer International Publishing.en_US
dc.identifier.doi10.1007/s00025-017-0663-y
dc.identifier.endpage982en_US
dc.identifier.issn1422-6383
dc.identifier.scopus2-s2.0-85014131733
dc.identifier.scopusqualityQ3
dc.identifier.startpage955en_US
dc.identifier.urihttps://doi.org/10.1007/s00025-017-0663-y
dc.identifier.volume71en_US
dc.identifier.wosWOS:000401007300023
dc.identifier.wosqualityQ1
dc.language.isoenen_US
dc.publisherBirkhauser Verlag AGen_US
dc.relation.ispartofResults in Mathematicsen_US
dc.relation.journalResults in Mathematicsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectElastic Curveen_US
dc.subjectEuler–Lagrange Equationsen_US
dc.subjectGalilean Spaceen_US
dc.subjectGeodesicsen_US
dc.titleOn Relaxed Elastic Lines of the Second Type on an Oriented Surface in the Galilean Space G3en_US
dc.typeArticleen_US
dspace.entity.typePublication

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