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
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