Skip to main content

" Evolution of Generalized Space Curve as a Function of Its Local Geometry"

Research Authors
Nassar H. Abdel-All, Samah G. Mohamed, Mariam T. Al-Dossary
Research 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 curvaturesare obtained. The integrability conditions for the evolutions are given. Finally, applications in R^2 are given and plotted.

Research Department
Research Journal
J. Applied Mathematics.
Research Rank
1
Research Vol
Vol. 5
Research Website
http://www.scirp.org/journal/am/
Research Year
2014
Research Pages
2381-2392