Mannheim Partner D-Curves in the Euclidean 3-space

• Main Authors: Mustafa Kazaz, Hasan Hüseyin Uğurlu, Mehmet Önder, Tanju Kahraman
• Format: Article
• Language: English
• Published: BİSKA Bilisim Company 2015-02-01
• Series: New Trends in Mathematical Sciences
• Subjects: Mannheim partner -curves; Darboux frame; geodesic curvature; normal curvature; geodesic torsion.
• Online Access: https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=59
• ISSN: 2147-5520; 2147-5520

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