A NOTE ON SOME CHARACTERIZATIONS OF CURVES DUE TO BISHOP FRAME IN EUCLIDEAN PLANE E2

Abstract

In this paper, we first obtain the differential equation characterizing position vector of a regularcurve in Euclidean plane 2 E . Then we study the special curves such as Smarandache curves,curves of constant breadth due to the Bishop frame in Euclidean plane 2 E . We give somecharacterizations of these special curves due to the Bishop frame in Euclidean plane 2 E .AMS Subject Classification: 53A35, 53A40, 53B25