5 papers
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.
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…