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5 results on '"Demirkol, R. C."'

4. A New Approach on the Energy of Elastica and Non-Elastica in Minkowski Space E 24

Author

Körpınar, Talat and Demirkol, R. C.

Subjects
Energy, Frenet vectors, Minkowski space, Elastic curves
Abstract

In this work, we firstly describe conditions for being elastica for a moving particle corresponding to different type of space curves in Minkowski space E24. Then, we investigate the energy on the elastic curves corresponding to a particular particle in the space and we also exploit its relationship with energy on the same particle in the Frenet vector fields. Finally, we characterize non-elastic curves in E24 and we compute their energy to see the distinction between energies for the curves of elastic and non-elastic case in Minkowski space E24. © 2017, Sociedade Brasileira de Matemática.

Published
2018

5. Curvature and Torsion Dependent Energy of Elastica and Nonelastica for a Lightlike Curve in the Minkowski Space.

Author

Körpinar, T. and Demirkol, R. C.

Subjects
MINKOWSKI space, CURVATURE, CURVES, FUNCTIONALS
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 . [ABSTRACT FROM AUTHOR]

Published
2020
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