Publication: Intrinsic Equations for a Relaxed Elastic Line of Second Kind on an Oriented Surface
| dc.authorscopusid | 55171722000 | |
| dc.authorscopusid | 11838959400 | |
| dc.contributor.author | Bayram, E. | |
| dc.contributor.author | Kasap, E. | |
| dc.date.accessioned | 2020-06-21T13:34:05Z | |
| dc.date.available | 2020-06-21T13:34:05Z | |
| dc.date.issued | 2016 | |
| dc.department | Ondokuz Mayıs Üniversitesi | en_US |
| dc.department-temp | [Bayram] Ergin, Department of Mathematics, Ondokuz Mayis Üniversitesi, Samsun, Turkey; [Kasap] Emin, Department of Mathematics, Ondokuz Mayis Üniversitesi, Samsun, Turkey | en_US |
| dc.description.abstract | Let α(s) be an arc on a connected oriented surface S in E3, parameterized by arc length s, with torsion t and length l. The total square torsion H of α is defined by H =?0lt2ds. The arc α is called a relaxed elastic line of second kind if it is an extremal for the variational problem of minimizing the value of H within the family of all arcs of length l on S having the same initial point and initial direction as α. In this study, we obtain differential equation and boundary conditions for a relaxed elastic line of second kind on an oriented surface. © 2016 World Scientific Publishing Company. | en_US |
| dc.identifier.doi | 10.1142/S0219887816500109 | |
| dc.identifier.issn | 0219-8878 | |
| dc.identifier.issn | 1793-6977 | |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.scopus | 2-s2.0-84960079222 | |
| dc.identifier.scopusquality | Q2 | |
| dc.identifier.uri | https://doi.org/10.1142/S0219887816500109 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12712/13453 | |
| dc.identifier.volume | 13 | en_US |
| dc.identifier.wos | WOS:000374783700003 | |
| dc.identifier.wosquality | Q1 | |
| dc.language.iso | en | en_US |
| dc.publisher | World Scientific Publishing Co. Pte Ltd wspc@wspc.com.sg | en_US |
| dc.relation.ispartof | International Journal of Geometric Methods in Modern Physics | en_US |
| dc.relation.journal | International Journal of Geometric Methods in Modern Physics | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Calculus of Variation | en_US |
| dc.subject | Oriented Surface | en_US |
| dc.subject | Relaxed Elastic Line of Second Kind | en_US |
| dc.title | Intrinsic Equations for a Relaxed Elastic Line of Second Kind on an Oriented Surface | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication |