Mannheim Partner D-Curves in the Euclidean 3-space

Year 2015, Volume: 3 Issue: 2, 24 - 35, 19.01.2015

Mustafa Kazaz Hasan Hüseyin Uğurlu Mehmet Önder Tanju Kahraman

Abstract

In this paper, we consider the idea of Mannheim partner curves for curves lying on surfaces. By considering the Darbouxframes of surface curves, we define Mannheim partner D-curves and give the characterizations for these curves. We also find therelations between geodesic curvatures, normal curvatures and geodesic torsions of these associated curves. Furthermore, we show thatdefinition and characterizations of Mannheim partner D-curves include those of Mannheim partner curves in some special cases

Keywords

Mannheim partner D-curves, Darboux frame; geodesic curvature; normal curvature; geodesic torsion

Mannheim partner D-curves in the Euclidean 3-space E3

Abstract

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