H. K. Nickerson and Gerald S. Manning  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.
Minkowski space, A generalized relaxed elastic line, Intrinsic equation, Variational problem.
EKİCİ, CUMALİ and GÖRGÜLÜ, ALİ
"Intrinsic equations for a generalized relaxed elastic line on an oriented surface in the Minkowski 3-space E_1^3,"
Turkish Journal of Mathematics: Vol. 33:
4, Article 9.
Available at: https://journals.tubitak.gov.tr/math/vol33/iss4/9