In this paper, we study the problem of finding a surface pencil from a given spatial
asymptotic curve. We obtain the parametric representation for a surface pencil whose …

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 …

For potential application in shoemaking and garment manufacture industries, the G1
connection of (1, k) developable surfaces with abutting geodesic is important. In this paper …

In this paper, we analyzed surfaces family possessing a Mannheim partner of a given curve
as a asymptotic. Using the Frenet frame of the curve in Euclidean 3-space, we express the …

In this paper, we analyzed surfaces family possessing a Mannheim partner curve of a given
curve as a geodesic. Using the Frenet frame of the curve in Euclidean 3-space, we express …

In this paper, we obtain the necessary and sufficient conditions of a surface pencil pair
interpolating a Bertrand pair as common asymptotic curves in Euclidean 3-space E 3 …

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, we analyzed the problem of finding a surfaces family through a given some
special Smarandache curves in Euclidean 3-space. Using the Frenet frame of the curve in …

The main result of this paper is constructing a surfaces family with the similarity of Bertrand
curves in Euclidean 3–space E 3. Then, by utilizing the Serret–Frenet frame, we conclude …