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Constant ratio curves according to parallel transport frame in euclidean 4-space e^4

Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.3, No. 4)

Publication Date:

Authors : ; ;

Page : 171-178

Keywords : Parallel transport frame position vector constant-ratio curves;

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Abstract

In this study, we consider a regular curve in Euclidean 4-space E^4 whose position vector is written as a linear combination of its parallel transport frame vectors. We characterize constant ratio curves in terms of their curvature functions. Further, we obtain some results of T-constant type and N-constant type curves according to its Bishop curvatures in E^4.

Last modified: 2016-10-30 05:06:44