Author:
Körpinar T.,Demirkol R. C.
Abstract
UDC 515.1
We firstly describe conditions for being elastica or nonelastica for a lightlike elastic Cartan curve in the Minkowski space by using the Bishop orthonormal vector frame and associated Bishop components. Then we compute the energy of the lightlike elastic and nonelastic Cartan curve in the Minkowski space and investigate its relationship with the energy of the same curve in Bishop vector fields in . Here, energy functionals are computed in terms of Bishop curvatures of the lightlike Cartan curve lying in the Minkowski space .
Publisher
Institute of Mathematics National Academy of Sciences of Ukraine
Reference20 articles.
1. A. Einstein, Zur Elektrodynamik bewegter Korper, Ann. Phys., 17, 891 – 921 (1905).
2. A. Einstein, Relativity. The special and general theory, Henry Holt, New York(1920).
3. A. Altin, On the energy and pseduoangle of frenet vector fields in $R^n_v$ , Ukr. Mat. J., 63, № 6, 969 – 975 (2011), https://doi.org/10.1007/s11253-011-0556-2
4. T. Korpınar, ¨ New Characterization for minimizing energy of biharmonic particles in Heisenberg spacetime<.em>, Int. J. Phys., 53, 3208 – 3218 (2014), https://doi.org/10.1007/s10773-014-2118-5
5. T. Korpınar, R. C. Demirkol, V. Asil, ¨ A new version on the energy of lightlike curve in Minkowski space $E^4_1$(submitted).
Cited by
1 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. A new characterization of null scrolls as parallel surfaces;International Journal of Geometric Methods in Modern Physics;2021-10-28