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On the energy and pseudoangle of Frenet vector fields in

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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Bibliographic Details
Published in:Ukrainian mathematical journal 2011-11, Vol.63 (6), p.969-976
Main Author: Altin, A
Format: Article
Language:English
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Summary: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 .
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-011-0556-2