AM  Vol.5 No.15 , August 2014
Evolution of Generalized Space Curve as a Function of Its Local Geometry
ABSTRACT

Kinematics of moving generalized curves in a n-dimensional Euclidean space is formulated in terms of intrinsic geometries. The evolution equations of the orthonormal frame and higher curvatures are obtained. The integrability conditions for the evolutions are given. Finally, applications in R2 are given and plotted.


Cite this paper
Abdel-All, N. , Mohamed, S. and Al-Dossary, M. (2014) Evolution of Generalized Space Curve as a Function of Its Local Geometry. Applied Mathematics, 5, 2381-2392. doi: 10.4236/am.2014.515230.
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