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has been cited by the following article:
TITLE: Evolution of Generalized Space Curve as a Function of Its Local Geometry
AUTHORS: Nassar H. Abdel-All, Samah G. Mohamed, Mariam T. Al-Dossary
KEYWORDS: Inelastic Curve, Curve Flow, Evolution of Curves
JOURNAL NAME: Applied Mathematics, Vol.5 No.15, August 19, 2014
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.