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Relaxed elastic line in a Riemannian manifold

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dc.creator Ozkan, Gozde
dc.creator YÜCESAN, Ahmet
dc.date 2013-12-31T22:00:00Z
dc.date.accessioned 2020-10-06T09:32:42Z
dc.date.available 2020-10-06T09:32:42Z
dc.identifier 24c945cb-5edb-45f3-912c-96d9038f4196
dc.identifier 10.3906/mat-1303-38
dc.identifier https://avesis.sdu.edu.tr/publication/details/24c945cb-5edb-45f3-912c-96d9038f4196/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/55556
dc.description We obtain a differential equation with 2 boundary conditions for a relaxed elastic line in a Riemannian manifold. This differential equation, which is found with respect to constant sectional curvature G, geodesic curvature kappa, and 2 boundary conditions, gives a more direct and more geometric approach to questions concerning a relaxed elastic line in a Riemannian manifold. We give various theorems and results in terms of a relaxed elastic line. Consequently, we examine the concept of a relaxed elastic line in 2- and 3-dimensional space forms.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title Relaxed elastic line in a Riemannian manifold
dc.type info:eu-repo/semantics/article


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