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

• Date: 2011
• Main Authors: Altin, A., Алтін, А.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2011
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2766
• Journal Title: 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 $C$.