48 citations · 120 across the 16 of their papers we have counts for
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Generalized Mannheim Curves in Minkowski space-time
Soley Ersoy, Murat Tosun, Hiroo Matsuda
In this paper, the definition of generalized spacelike Mannheim curve in Minkowski space-time is given. The necessary and sufficient conditions for the generalized spacelik…
A Note an Admissible Mannheim Curves in Galilean Space
S. Ersoy, M. Akyiğit, M. Tosun
The aim of this paper is to study the Mannheim partner curves in three dimensional Galilean space . Some well known theorems are obtained related to Mannheim curves.
Timelike Bertrand Curves in Semi-Euclidean Space
Soley Ersoy, Murat Tosun
In this paper, it is proved that, no special timelike Frenet curve is a Bertrand curve in and also, in , such that the notion of…
Admissible Mannheim Curves in Pseudo-Galilean Space
M. Akyigit, A. Z. Azak, M. Tosun
In this paper, first and second type admissible Mannheim partner curves are defined in pseudo-Galilean space . Moreover, it is proved that the distance between the reciproca…
A Study on Dual Mannheim Partner Curves
M. A. Gungor, M. Tosun
Mannheim partner curves are studied by Liu and Wang [1,2]. Orbay and others extended the theory of the Mannheim curves to the ruled surface in Euclidean 3-space[3]. We obtain the r…
Lamarle Formula in 3-Dimensional Lorentz Space
Soley Ersoy, Murat Tosun
The Lamarle Formula, given by Kruppa in \cite{Kr}, is known as a relationship between the Gaussian curvature and the distribution parameter of a ruled surface in the surface theory…