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A Curvature Energy Problem on a Timelike Surface

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dc.creator TUKEL, Gozde Ozkan
dc.creator YÜCESAN, Ahmet
dc.date 2018-09-30T21:00:00Z
dc.date.accessioned 2020-10-06T09:30:17Z
dc.date.available 2020-10-06T09:30:17Z
dc.identifier 2237055f-f1d7-44f1-b53d-470f859fddb0
dc.identifier https://avesis.sdu.edu.tr/publication/details/2237055f-f1d7-44f1-b53d-470f859fddb0/oai
dc.identifier.uri http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/55286
dc.description We present a variational study of finding null relaxed elastic lines which are extremals of a geometric energy functional, subject to suitable constraints and boundary conditions on a timelike surface in Minkowski 3-space. We derive an Euler-Lagrange equation for a null relaxed elastic line with regard to geodesic curvature, geodesic torsion and normal curvature of the curve on the timelike surface. Finally, we give some examples for null relaxed elastic lines on the pseudo-sphere and pseudo-cylinder.
dc.language eng
dc.rights info:eu-repo/semantics/closedAccess
dc.title A Curvature Energy Problem on a Timelike Surface
dc.type info:eu-repo/semantics/article


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