On the energy and pseudo-angle of Frenet vector fields in $R^n_v$

• Datum: 2011
• Hauptverfasser: Altin, A., Алтін, А.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2011
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2766
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

In this paper, we compute the energy of a Frenet vector field and the pseudo-angle between Frenet vectors for a given non-null curve $C$ in semi-Euclidean space of signature $(n, v)$. It is shown that the energy and pseudo-angle can be expressed in terms of the curvature functions of $C$.