24 citations · 37 across the 12 of their papers we have counts for
7 papers · 2 filters
Surfaces Family With Common Null Asymptotic
Gulnur Saffak Atalay, Emin Kasap
We analyzed the problem of finding a surfaces family through an asymptotic curve with Cartan frame. We obtain the parametric representation for surfaces family whose members have t…
Hypersurface family with a common isoasymptotic curve
Ergin Bayram, Emin Kasap
In the present paper, we handle the problem of finding a hypersurface family from a given asymptotic curve in R^4. Using the Frenet frame of the given asymptotic curve, we express…
An approach for minimal surface family passing a curve
Sedat Kahyaoğlu, Emin Kasap
We investigate minimal surfaces passing a given curve in . Using the Frenet frame of a given curve and isothermal parameter, we derive the necessary and sufficient condition…
Ruled Surfaces according to Rotation Minimizing Frame
Fatma Güler, Emin Kasap
In this paper, we investigate the ruled surfaces generated by a straight line according to rotation minimizing frame (RMF). Using this frame of a straight line, we obtained the nec…
An approach for designing a surface pencil through a given asymptotic curve
Fatma Güler, Gülnur Şaffak Atalay, Ergin Bayram +1
Surfaces and curves play an important role in geometric design. In recent years, problem of finding a surface passing through a given curve has attracted much interest. In the pres…
An approach for designing a surface pencil through a given geodesic curve
Gulnur Saffak Atalay, Fatma Guler, Ergin Bayram +1
Surfaces and curves play an important role in geometric design. In recent years, problem of finding a surface passing through a given curve have attracted much interest. In the pre…
Structure and characterization of ruled surfaces in Minkowski 3-space
Fatma Guler, Emin Kasap
In this paper, we consider non developable ruled surface with spacelike ruling, timelike ruling, respectively. We give the relations between the structure functions with the curvat…