In this paper, we construct a surface family possessing a Mannheim B-pair of a given curve
as an asymptotic curve. Using the Bishop frame of the given Mannheim B curves, we present …

The topic of the orthonormal moving frames is one of the basic topics in differential geometry
and it has an important place. On the other hand, the topic of special curves is among the …

Investigations are very important for non-regular curves in differential geometry. Framed
curves have been used recently to study singular curves, and they have many contributions …

In this study, Tzitz\'eica curves are taken into consideration in the Euclidean 3-space by
using the Positional Adapted Frame (PAF). Such curves are characterized according to PAF …

Tzitzeica curve is a mathematical curve that has been used to describe the behavior of
certain physical phenomena. It was first discovered by Romanian mathematician Gheorghe …

Investigations are very important for non-regular curves in differential geometry. Framed
curves have been used recently to study singular curves, and they have many contributions …

In this study, we investigate the condition that a given polynomial curve with respect to the
Frenet like curve (Flc) frame is a Tzitzeica curve. We also show that any planar polynomial …

In this study, we introduce a new version of PAF and call it as Type 2-PAF. We give the
derivative formulas and angular velocity vector for Type 2-PAF. Also, we characterize …

In this work, both timelike and spacelike Tzitzeica, spherical, and spherical Tzitzeica curves
are analyzed in 3-dimensional Minkowski space by using q-frame. Tzitzeica and spherical …