Title of article
Intrinsic equations for a generalized relaxed elastic line on an oriented surface in the Minkowski 3-space E_1^3
Author/Authors
Ekici, Cumali Eskisehir Osmangazi University - Department of Mathematics, Turkey , Gorgulu, Ali Eskisehir Osmangazi University - Department of Mathematics, Turkey
From page
397
To page
407
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
Journal title
Turkish Journal of Mathematics
Journal title
Turkish Journal of Mathematics
Record number
2530859
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