B\"{A}CKLUND TRANSFORMATIONS ACCORDING TO BISHOP FRAME IN EUCLIDEAN 3-SPACE

Author:

Murat~Kemal~KARACAN,~Yilmaz~TUN\c{C}ER

2010 Mathematics Subject Classification:

53A04.

Keywords:

B\"{a}cklund transformations, Bishop frame.

Abstract:

In this paper, we define B\"{a}cklund transformations of curves according to Bishop frame which preserving the natural curvatures under certain assumptions in Euclidean 3-space.

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Kara-Tunc-2012

Vol. 7 (15), 2011