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20092013
most citedOn the Developable Mannheim Offsets of Timelike Ruled Surfaces

8 citations · 32 across the 11 of their papers we have counts for

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math.DG2013

Dual Hyperbolic Conchoidal Motion

Mustafa Kazaz, Hasan Huseyin Ugurlu

Dual spherical conchoidal motion has been defined by Yapar. In this work, we define this motion on a dual hyperbolic unit sphere in the dual Lorentzian space with dual signature, a…

math.DG2012

Dual Darboux Frame of a Spacelike Ruled Surface and Darboux Approach to Mannheim Offsets of Spacelike Ruled Surfaces

Mehmet Önder, H. Hüseyin Uğurlu

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 sp…

math.DG2011★ 3 cited

Some Characterizations of Mannheim Partner Curves in Minkowski 3-space

Tanju Kahraman, Mehmet Önder, Mustafa Kazaz +1

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 characterizin…

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

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★ 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…