TURKISH JOURNAL OF MATHEMATICS, cilt.33, sa.4, ss.397-407, 2009 (SCI-Expanded)
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.