In this paper we first define the involutive sweeping surfaces as a new surface form. We then
investigate singularity, Gaussian and mean curvatures of these surfaces. By calculating the …

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 surface modeling, constructing a new surface from a given regular surface is important.
Focal surfaces are used to analyze the quality of a given surface. In this study, the …

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 …

The main outcome of this work is the construction of a surface pencil with a similarity to
Bertrand curves in Euclidean 3-space E 3. Then, by exploiting the Serret–Frenet frame, we …

Some properties of parametric surfaces with a mixed-type curve - ScienceDirect Skip to
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This paper is about deriving the necessary and sufficient conditions of a surface family pair
with a Bertrand pair as common geodesic curves in Galilean 3-space G 3. Thereafter, the …

In this paper, we derive the necessary and sufficient conditions of surface pencil pair
interpolating Bertrand pair as common asymptotic curves in Galilean space G3. Moreover …

The main interest of this work is to construct surface family pair with the symmetry of Bertrand
pair in Euclidean 3-space $\mathbb {E}^{3} $. Then, by employing the Serret-Frenet frame …

A principal curve on a surface plays a paramount role in reasonable implementations. A
curve on a surface is a principal curve if its tangents are principal directions. Using the Serret …