24 citations · 37 across the 12 of their papers we have counts for
12 papers · 1 filter
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…
Intrinsic equations for a relaxed elastic line of second kind in Minkowski 3-space
Ergin Bayram, Emin Kasap
Let be an arc on a connected oriented surface in Minkowski 3-space, parameterized by arc length , with torsion and length . The total square torsion of is…
Intrinsic Equations For a Relaxed Elastic Line of Second Kind on an Oriented Surface
Ergin Bayram, Emin Kasap
Let α(s) be an arc on a connected oriented surface S in E3, parameterized by arc length s, with torsion τ and length l. The total square torsion F of α is defined by T=\int_{0}^{l}…
Surfaces with a common asymptotic curve in Minkowski 3-space
Gulnur Saffak, Ergin Bayram, Emin Kasap
In this paper, we express surfaces parametrically through a given spacelike (timelike) asymptotic curve using the Frenet frame of the curve in Minkowski 3-space. Necessary and suff…
Surface pencil with a common line of curvature in Minkowski 3-space
Evren Ergun, Ergin Bayram, Emin Kasap
In this paper, we analyze the problem of constructing a surface pencil from a given spacelike (timelike) line of curvature. By using the Frenet frame of the given curve in Minkowsk…
Parametric Representation of a Hypersurface Family With a Common Spatial Geodesic
Ergin Bayram, Emin Kasap
In this paper, we study the problem of finding a hypersurface family from a given spatial geodesic curve in R4. We obtain the parametric representation for a hypersurface family wh…