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Generalized relaxed elastic line on an oriented surface

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Ukrainian Mathematical Journal Aims and scope

We study a relaxed elastic line in the general case on an oriented surface. In particular, we obtain a differential equation with three boundary conditions for a generalized relaxed elastic line. Then we analyze the results in a plane, on a sphere, on a cylinder, and on the geodesics of these surfaces.

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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 64, No. 8, pp. 1121–1131, August, 2012.

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Yücesan, A., Özkan, G. Generalized relaxed elastic line on an oriented surface. Ukr Math J 64, 1277–1289 (2013). https://doi.org/10.1007/s11253-013-0715-8

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  • DOI: https://doi.org/10.1007/s11253-013-0715-8

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