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