2017
Том 69
№ 5

All Issues

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

Altin A.

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Abstract

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 $C$.

English version (Springer): Ukrainian Mathematical Journal 63 (2011), no. 6, pp 969-976.

Citation Example: Altin A. On the energy and pseudo-angle of Frenet vector fields in $R^n_v$ // Ukr. Mat. Zh. - 2011. - 63, № 6. - pp. 833-839.

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