HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.39, sa.2, ss.197-203, 2010 (SCI-Expanded)
H. K. Nickerson and Gerald S. Manning (Intrinsic equations for a relaxed elastic line on an oriented surface, Geometriae Dedicate 27, 127-136, 1988) derived the intrinsic equations for a relaxed elastic line on an oriented surface in Euclidean 3-dimensional space E(3). In this paper, we define a generalized relaxed elastic line and derive the intrinsic equations for a generalized relaxed elastic line on an oriented surface in Euclidean 3-dimensional space E(3), and give some applications of the result.