We compute the energy of a Frenet vector field and the pseudoangle between Frenet vectors for a given non-null curve C in a semi-Euclidean space of signature (n, ν). It is shown that the energy and pseudoangle can be expressed in terms of the curvature functions of C.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 63, No. 6, pp. 833–839, June, 2011.
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Altın, A. On the energy and pseudoangle of Frenet vector fields in \( R_v^n \) . Ukr Math J 63, 969–976 (2011). https://doi.org/10.1007/s11253-011-0556-2
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DOI: https://doi.org/10.1007/s11253-011-0556-2