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

  • A. Altin Hacettepe Univ., Ankara, Turkey


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 $C$.
How to Cite
Altin, A. “On the Energy and Pseudo-Angle of Frenet Vector Fields in $R^n_v$”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, no. 6, June 2011, pp. 833-9, https://umj.imath.kiev.ua/index.php/umj/article/view/2766.
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