Inelastic flows of curves in 4D Galilean space

Sezai Kızıltuğ

Abstract


The flow of a curve is said to be inelastic, if in the former case, the arc-length is preserved, and in the latter case, if the intrinsic curvature is preserved. Physically, inelastic curve flow is characterized by the absence of any strain energy induced from the motion. In this paper, we investigate inextensible flows of curves in Galilean 4-space. Also, we give necessary and sufficient conditions for an inelastic curve flow are first expressed as a partial differential equation involving the curvature and torsion.

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Sezai Kızıltuğ, Inelastic flows of curves in 4D Galilean space, Journal of Mathematical and Computational Science, Vol 3, No 6 (2013), 1520-1532

Copyright © 2013 Sezai Kızıltuğ. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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