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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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Published in: | Ukrainian mathematical journal 2011-11, Vol.63 (6), p.969-976 |
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Main Author: | |
Format: | Article |
Language: | English |
Subjects: | |
Citations: | Items that this one cites |
Online Access: | Get full text |
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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 |