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 regular

curve 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 some

characterizations of these special curves due to the Bishop frame in Euclidean plane 2 E .

AMS Subject Classification: 53A35, 53A40, 53B25

Keywords

• A regular plane curve,Euclidean plane,Bishop frame,Smarandache curves

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