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20092023
most citedOn the Developable Mannheim Offsets of Timelike Ruled Surfaces

8 citations · 49 across the 24 of their papers we have counts for

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Showing 2010 · math.DGShow all

9 papers · 2 filters

math.DG2010★ 1 cited

Mannheim Offsets of the Timelike Ruled Surfaces with Spacelike Rulings in Dual Lorentzian Space

Mehmet ONder, H. Huseyin Ugurlu

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 term…

math.DG2010★ 3 cited

Spacelike helices in Minkowski 4-Space

Mehmet Önder, Hüseyin Kocyiğit, Mustafa Kazaz

In this paper, we give some characterizations for spacelike helices in Minkowski space-time. We find the differential equations characterizing the spacelike helices and also give t…

math.DG2010★ 3 cited

Some Results and Characterizations for Mannheim Offsets of the Ruled Surfaces

Mehmet Önder, H. Hüseyin Uğurlu

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 offset…

math.DG2010

Spacelike B2-Slant Helix in Minkowski 4-Space

Mehmet Önder, Hüseyin Kocayiğit, Mustafa Kazaz

In this paper, we give the characterizations of spacelike B2-slant helix by means of curvatures of the spacelike curve in Minkowski 4-space. Furthermore, we give the integral chara…

math.DG2010★ 2 cited

Bertrand Partner D-Curves in Minkowski 3-space

Mustafa Kazaz, H. Huseyin Ugurlu, Mehmet Onder +1

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-cur…

math.DG2010★ 5 cited

Bertrand Partner D-Curves in Euclidean 3-space

Mustafa Kazaz, H. Hüseyin Uğurlu, Mehmet Önder +1

In this paper we consider the idea of Bertrand curves for curves lying on surfaces and by considering the Darboux frames of them we define these curves as Bertrand D-curves and giv…

math.DG2010★ 3 cited

Mannheim Partner D-Curves in Minkowski 3-space

Mustafa Kazaz, H. Hüseyin Uğurlu, Mehmet Önder +1

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 curvature…

math.DG2010★ 3 cited

Mannheim Partner D-Curves in Euclidean 3-space

Mustafa Kazaz, H. Hüseyin Uğurlu, Mehmet Önder +1

In this paper we consider the idea of Mannheim partner curves for curves lying on surfaces and by considering the Darboux frames of them we define these curves as Mannheim partner…

math.DG2010

On Closed Space Curves In Minkowski Space-Time

Zehra Ari, Mehmet Önder

In this paper, we give the generalization of the criterion for a 3-space curve to be closed given by [3] to an n-space curve in Minkowski space-time E_v^n. Furthermore, we apply th…