3 papers
math.DG2018
On some curves with the modified orthogonal frame in Euclidean 3-space
Mohamd Saleem Lone, Hasan Es, Murat Kemal Karacan +1
In this paper, we study helices and the Bertrand curves. We obtain some of the classification results of these curves with respect to the modified orthogonal frame in Euclidean 3-s…
math.DG2018
Spherical indicatrices with the modified orthogonal frame
Mohamd Saleem Lone, Murat Kemal Karacan, Yilmaz Tuncer +1
In this paper, we study spherical images of the modified orthogonal vector fields and Darboux vector of a regular curve which lies on the unit sphere in Euclidean 3-space.
math.DG2018
Mannheim curves with modified orthogonal frame in Euclidean 3-space
Mohamd Saleem Lone, Hasan Es, Murat Kemal Karacan +1
In this paper, we investigate Mannheim pairs, Frenet-Mannheim curves and Weakened Mannheim curves with respect to the modified orthogonal frame in Euclidean 3-space(E 3 ). We obtai…