Abstract
In this work, we study classical differential geometry of non-null curves according to the new version of Bishop frame in which we call it along the work as “the Bishop frame of type-2”. First, we investigate position vector of a regular non-null curve by obtaining a system of ordinary differential equations. The solution of the system gives the components of the position vector with respect to the Bishop frame of type-2 in . Moreover, we define the first, second and third order Bishop planes according to this new frame, and also, regardig to these planes, we characterize position vectors in .
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