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- Koç UniversityTR4 papers
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9 papers · 1 filter
A method for designing involute trajectory timelike ruled surfaces in Minkowski 3-space
Mustafa Bilici
The aim of this paper is to present a new perspective on the generation of developable trajectory ruled surfaces in Minkowski 3-space. Involute trajectory ruled surfaces generated…
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 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…
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…