3 papers
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.DG2020
Generalized Normal Ruled Surface of a Curve in the Euclidean 3-space
Onur Kaya, Mehmet Önder
In this study, we define the generalized normal ruled surface of a curve in the Euclidean 3-space . We study the geometry of such surfaces by calculating the Gaussian and mean…