Dergi makalesi Açık Erişim
Bayram, Ergin; Kasap, Emin
{ "DOI": "10.1142/S0219887816500109", "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.", "author": [ { "family": "Bayram", "given": " Ergin" }, { "family": "Kasap", "given": " Emin" } ], "container_title": "INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS", "id": "57739", "issue": "3", "issued": { "date-parts": [ [ 2016, 1, 1 ] ] }, "title": "Intrinsic equations for a relaxed elastic line of second kind on an oriented surface", "type": "article-journal", "volume": "13" }
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