24 citations · 37 across the 8 of their papers we have counts for
5 papers · 1 filter
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…