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math.GM2023
Slant helices and Darboux helices in Myller Configuration
Akın Alkan, Mehmet Önder
In this paper, we study slant helix (or -helix) and Darboux helix in Myller configuration . We show that a curve in is a slant helix if and only if it is…
math.GM2023
Osculating mate of a Frenet curve in the Euclidean 3-space
Akın Alkan, Mehmet Önder
A new kind of partner curve called osculating mate of a Frenet curve is introduced. Some characterizations for osculating mate are obtained and using the obtained results some spec…
math.GM2012★ 4 cited
Dual Smarandache Curves and Smarandache Ruled Surfaces
Tanju Kahraman, Mehmet Önder, H. Hüseyin Uğurlu
In this paper, by considering dual geodesic trihedron (dual Darboux frame) we define dual Smarandache curves lying fully on dual unit sphere S^2 and corresponding to ruled surfaces…