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: 2015-12-01
Authors : Sezgin Büyükkütük; Günay Öztürk;
Page : 171-178
Keywords : Parallel transport frame position vector constant-ratio curves;
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.
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