| dc.contributor.author | Bayram, Ergin | |
| dc.contributor.author | Kasap, Emin | |
| dc.date.accessioned | 2020-06-21T13:34:05Z | |
| dc.date.available | 2020-06-21T13:34:05Z | |
| dc.date.issued | 2016 | |
| dc.identifier.issn | 0219-8878 | |
| dc.identifier.issn | 1793-6977 | |
| dc.identifier.uri | https://doi.org/10.1142/S0219887816500109 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12712/13453 | |
| dc.description | WOS: 000374783700003 | en_US |
| dc.description.abstract | Let alpha(s) be an arc on a connected oriented surface S in E-3, parameterized by arc length s, with torsion tau and length l. The total square torsion H of alpha is defined by H = integral(l)(0) tau(2) ds. The arc alpha 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 alpha. In this study, we obtain differential equation and boundary conditions for a relaxed elastic line of second kind on an oriented surface. | en_US |
| dc.description.sponsorship | TUBITAK (The Scientific and Technological Research Council of Turkey)Turkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK) | en_US |
| dc.description.sponsorship | The authors appreciate the comments and valuable suggestions of the editor and the reviewer. Their advice helped to improve the clarity and presentation of this paper. The first author would like to thank TUBITAK (The Scientific and Technological Research Council of Turkey) for their financial supports during his doctorate studies. | en_US |
| dc.language.iso | eng | en_US |
| dc.publisher | World Scientific Publ Co Pte Ltd | en_US |
| dc.relation.isversionof | 10.1142/S0219887816500109 | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Relaxed elastic line of second kind | en_US |
| dc.subject | oriented surface | en_US |
| dc.subject | calculus of variation | 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 |
| dc.contributor.department | OMÜ | en_US |
| dc.identifier.volume | 13 | en_US |
| dc.identifier.issue | 3 | 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 |
