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 …

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 …

Offset surface pencil with a common asymptotic curve Page 1 International Journal of
Geometric Methods in Modern Physics Vol. 15, No. 11 (2018) 1850195 (11 pages) c© World …

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 …

This project deals with the problem of building a surface family from a known geodesic curve
in Euclidean 3-space E3. In addition, we use the Serret–Frenet frame of the curve, to present …

In this study we first define the tubular involutive surfaces as a new surface form. We then
investigate singularity, Gaussian curvature and mean curvatures of the tubular involutive …

ANKARA ÜNİVERSİTESİ FEN BİLİMLERİ ENSTİTÜSÜ YÜKSEK LİSANS TEZİ BATI
KARADENİZ BÖLGESİ’NDE YER ALAN ZONGULDAK Page 1 ANKARA ÜNİVERSİTESİ …

A curve on a surface is a geodesic curve if its principal normal vector is anywhere aligned
with the surface normal. Using the Serret–Frenet frame, a timelike surface couple (TLSC) …

In the present paper, we parametrically represent surfaces passing through an involute of a
prescribed curve as a line of curvature. We express these surfaces by using the Frenet …

In this paper, we study the problem of constructing a surface family from a given null
geodesic curve in Minkowski 3-space 𝔼 1 3. Using the Cartan frame of the given null curve …