Curvature and torsion dependent energy of elastica and nonelastica for a lightlike curve in the Minkowski space

• Datum: 2020
• Hauptverfasser: Körpinar, T., Demirkol, R. C.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2020
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/847
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

UDC 515.1 We 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 ligh...