Intrinsic equations for a generalized relaxed elastic line on an oriented surface in the Minkowski 3-space E_1^3

Authors: CUMALİ EKİCİ, ALİ GÖRGÜLÜ

Abstract: H. K. Nickerson and Gerald S. Manning [8] derived the intrinsic equations for a relaxed elastic line on an oriented surface in the Euclidean 3-dimensional space E^3. In this paper, we define a generalized relaxed elastic line and derive the intrinsic equations for a generalized of relaxed elastic line on an oriented surface in the Minkowski 3-dimensional space E_1^3 and give some applications of the result.

Keywords: Minkowski space, A generalized relaxed elastic line, Intrinsic equation, Variational problem.

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