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Intrinsic equations for a generalized relaxed elastic line on an oriented surface in the galilean space
Authors:Tevfik ŞAHİN
Affiliation:Department of Mathematics, Faculty of Arts and Sciences, Amasya University - TURKEY
Abstract:In this article, we derive the intrinsic equations for a generalized relaxed elastic line on an oriented surface in the Galilean 3-dimensional space G3. These equations will give direct and more geometric approach to questions concerning about generalized relaxed elastic lines on an oriented surface in G3.
Keywords:Galilean space   generalized relaxed elastic line   variational problem   intrinsic formulation   geodesic
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