Inelastic flows of curves in 4D Galilean space
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.
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.
Cite this article
S. Kızıltuğ, Inelastic flows of curves in 4D Galilean space, J. Math. Comput. Sci. 3 (2013), 1520–1532.
BibTeX
@article{Kızıltuğ2013,
author = {Kızıltuğ, Sezai},
title = {Inelastic flows of curves in 4D Galilean space},
journal = {J. Math. Comput. Sci.},
volume = {3},
year = {2013},
pages = {1520--1532},
doi = {}
}