TY - JOUR
AU - T. Körpinar
AU - R. C. Demirkol
PY - 2020/08/18
Y2 - 2020/09/25
TI - Curvature and torsion dependent energy of elastica and nonelastica for a lightlike curve in the Minkowski space
JF - Ukrains’kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 72
IS - 8
SE - Research articles
DO - 10.37863/umzh.v72i8.847
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/847
AB - UDC 515.1We firstly describe conditions for being elastica or nonelastica for a lightlike elastic Cartan curve in the Minkowski space $\mathbb{E}_{1}^{4}$ by using the Bishop orthonormal vector frame and associated Bishop components. Then we compute the energy of the lightlike elastic and nonelastic Cartan curve in the Minkowski space $\mathbb{E}_{1}^{4}$ and investigate its relationship with the energy of the same curve in Bishop vector fields in $\mathbb{E}_{1}^{4}$. Here, energy functionals are computed in terms of Bishop curvatures of the lightlike Cartan curve lying in the Minkowski space $\mathbb{E}_{1}^{4}$.
ER -