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

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...

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Bibliographic Details
Date:2020
Main Authors: Körpinar, T., Demirkol, R. C.
Format: Article
Language:English
Published: Institute of Mathematics, NAS of Ukraine 2020
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/847
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal