29 citations · 30 across the 7 of their papers we have counts for
9 papers
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…
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.
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…
Ruled Weingarten Surfaces Related to Dual Spherical Curves
İlkay Arslan Güven, Semra Kaya Nurkan, Murat Kemal Karacan
We study ruled surfaces in R3 which are obtained from dual spher- ical indicatrix curves of dual Frenet vector fields. We find the Gaussian and mean curvatures of the ruled surface…
Spherical Indicatrices of Involute of a Space Curve in Euclidean 3-Space
Yılmaz Tunçer, Serpil Ünal, Murat Kemal Karacan
In this work, we studied the properties of the spherical indicatrices of involute curve of a space curve and presented some characteristic properties in the cases that involute cur…
Non-Null Weakened Mannheim curves
Yılmaz Tunçer, Murat Kemal Karacan
In this study, non-null Frenet-Mannheim curves and non-null Weakened Mannheim curves are investigated in Minkowski 3-space. Some characterizations for this curves are obtained.
New Representations of Bertrand Pairs in Euclidean 3-Space
Yılmaz Tunçer, Serpil Unal, M. Kemal Karacan
In this work, we studied the properties of the spherical indicatrices of a Bertrand curve and its mate curve and presented some characteristic properties in the cases that Bertrand…
Smarandache Curves According to Bishop Frame in Euclidean 3-Space
Muhammed Çetin, Yılmaz Tunçer, Murat Kemal Karacan
In this paper, we investigate special Smarandache curves according to Bishop frame in Euclidean 3-space and we give some differential geometric properties of Smarandache curves. Al…
Weingarten and Linear Weingarten Canal Surfaces
Yılmaz Tunçer, Dae Won Yoon
In this study, we investigated the (K,H), (K,K_{II}), (H,K_{II})-Weingarten and (K,H),(K,K_{II}),(H,K_{II}) and (K,H,K_{II})-linear Weingarten canal surfaces in IR^3.