Intrinsic equations for a generalized relaxed elastic line on an oriented surface in the Minkowski 3-space E_1^3
Cumali̇ Eki̇ci̇, ali görgülü · TURKISH JOURNAL OF MATHEMATICS · 2009
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.