Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=48888#.VDcwMFfHRK0 Author(s) Nassar H. Abdel-All , Samah G. Mohamed , Mariam T. Al-Dossary Affiliation(s) Mathematics Department, Faculty of Science, Assiut University, Assiut, Egypt . Mathematics Department, Faculty of Science, Assiut University, Assiut, Egypt . Mathematics Department, Girls College of Science, University of Dammam, Dammam, KSA . 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 R 2 are g...
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