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- Title
Curvature and Torsion Dependent Energy of Elastica and Nonelastica for a Lightlike Curve in the Minkowski Space.
- Authors
Körpinar, T.; Demirkol, R. C.
- Abstract
We first describe the conditions for being elastica or nonelastica for a lightlike elastic Cartan curve in the Minkowski space E 1 4 by using the Bishop orthonormal vector frame and associated Bishop components. Then we compute the energy of the lightlike elastic and nonelastic Cartan curves in the Minkowski space E 1 4 and investigate its relationship with the energy of the same curves in Bishop vector fields in E 1 4 . In this case, the energy functionals are computed in terms of the Bishop curvatures of the lightlike Cartan curve lying in the Minkowski space E 1 4 .
- Subjects
MINKOWSKI space; CURVATURE; CURVES; FUNCTIONALS
- Publication
Ukrainian Mathematical Journal, 2020, Vol 72, Issue 8, p1267
- ISSN
0041-5995
- Publication type
Article
- DOI
10.1007/s11253-020-01853-3