In this study we give the Frenet frames and Frenet invariants of timelike ruled surfaces. We
show that a timelike ruled surface and its directing cone have the same base of Frenet …

We construct a surface family possessing an involute of a given curve as an asymptotic
curve. We express necessary and sufficient conditions for that curve with the above property …

This article gives an approach for establishing a surface family with a mutual geodesic curve
in Galilean 3-space G 3. Given a smooth space curve, we derive the sufficient and …

In this paper, we analyze the problem of constructing a surface pencil from a given spacelike
(timelike) line of curvature. Using the Frenet frame of the given line of curvature in Minkowski …

We analyzed the problem of finding a surfaces family through a null curve with Cartan frame.
We constructed a differential equation system such that a given null curve is an isogeodesic …

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 …

In this paper a complete system of invariants is presented to study spacelike circular
surfaces with fixed radius. Thestudy of spacelike circular surfaces is simplified to the study of …

In the present paper, we construct surfaces possessing an adjoint curve of a given space
curve as an asymptotic curve, geodesic or line of curvature. We obtain conditions for ruled …

In this study, we investigate the problem how to characterize a surface family from a given
common geodesic curve in a 3-dimensional Lie group G. We obtain a parametric …

Construction of surfaces with constant mean curvature along a timelike curve Verilen bir
timelike eğri boyunca sabit ortalama e Page 1 POLİTEKNİK DERGİSİ JOURNAL of …