On the energy and pseudo-angle of Frenet vector fields in Rⁿᵥ

• Published in: Український математичний журнал
• Date: 2011
• Main Author: Altin, A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2011
• Subjects: Короткі повідомлення
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/166253
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: On the energy and pseudo-angle of Frenet vector fields in Rⁿᵥ / A. Altin // Український математичний журнал. — 2011. — Т. 63, № 6. — С. 833–839. — Бібліогр.: 9 назв. — англ.

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. Обчислено енергiю...