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In this paper, by considering dual geodesic trihedron (dual Darboux frame) we define dual Smarandache curves lying fully on dual unit sphere S^2 and corresponding to ruled surfaces. We obtain the relationships between the elements of curvature of dua
Externí odkaz:
http://arxiv.org/abs/1205.2180
Autor:
Önder, Mehmet, Uğurlu, H. Hüseyin
In this paper, we define dual geodesic trihedron(dual Darboux frame) of a spacelike ruled surface. Then, we study Mannheim offsets of spacelike ruled surfaces in dual Lorentzian space by considering the E. Study Mapping. We represent spacelike ruled
Externí odkaz:
http://arxiv.org/abs/1201.6148
Autor:
Önder, Mehmet, Uğurlu, H. Hüseyin
Publikováno v:
New Trends in Mathematical Sciences, 3(3) (2015) 35--45
In this paper, we study Mannheim surface offsets in dual space. By the aid of the E. Study Mapping, we consider ruled surfaces as dual unit spherical curves and define the Mannheim offsets of the ruled surfaces by means of dual geodesic trihedron (du
Externí odkaz:
http://arxiv.org/abs/1110.0916
Autor:
Önder, Mehmet, Uğurlu, H. Hüseyin
In this paper, we introduce the dual geodesic trihedron (dual Darboux frame) of a timelike ruled surface. By the aid of the E. Study Mapping, we consider timelike ruled surfaces as dual hyperbolic spherical curves and define the Mannheim offsets of t
Externí odkaz:
http://arxiv.org/abs/1108.6076
In this paper, we give the characterizations of Mannheim Partner Curves in Minkowski 3-space . Firstly, we classify these curves in . Next, we give some relationships characterizing these curves and we show that Mannheim theorem is not valid for Mann
Externí odkaz:
http://arxiv.org/abs/1108.4570
Autor:
ONder, Mehmet, Ugurlu, H. Huseyin
In this paper, we obtain the characterizations of Mannheim offsets of the timelike ruled surface with spacelike rulings in dual Lorentzian space. We give the relations between terms of their integral invariants and also we give the new characterizati
Externí odkaz:
http://arxiv.org/abs/1007.2041
Autor:
Önder, Mehmet, Uğurlu, H. Hüseyin
In this study, we give the dual characterizations of Mannheim offsets of the ruled surface in terms of their integral invariants and the new characterization of the Mannheim offsets of developable surface. Furthermore, we obtain the relationships bet
Externí odkaz:
http://arxiv.org/abs/1005.2570
In this paper, we give the definition, different types and characterizations of Mannheim partner D-curves in Minkowski 3-space. We find the relations between the geodesic curvatures, the normal curvatures and the geodesic torsions of these associated
Externí odkaz:
http://arxiv.org/abs/1003.2043
In this paper, we consider the idea of Bertrand curves for curves lying on surfaces in Minkowski 3-space. By considering the Darboux frame, we define these curves as Bertrand D-curves and give the characterizations for those curves. We also find the
Externí odkaz:
http://arxiv.org/abs/1003.2048