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math.DG2011
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…
math.GM2011
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…