Quasi-position vector curves in Galilean 4-space

A Elsharkawy, N Elsharkawy - Frontiers in Physics, 2024 - frontiersin.org
The Frenet frame is not suitable for describing the behavior of the curve in the Galilean
space since it is not defined everywhere. In this study, an alternative frame, the so-called …

Exploring Hasimoto surfaces within equiform geometry in Minkowski space

A Elsharkawy - Physica Scripta, 2024 - iopscience.iop.org
In this study, we investigate the equiform geometry of Hasimoto surfaces within the context of
three-dimensional Minkowski space. We analyze the geometric characteristics inherent to …

Timelike spherical curves according to equiform Bishop framein 3-dimensional Minkowski space

N Elsharkawy, C Cesarano… - KARPATSʹKI …, 2023 - iris.uninettunouniversity.net
In this paper, we study the equiform Bishop formulae for the equiform timelike curves in3-
dimensional Minkowski space where the equiform timelikespherical curves are defined …

Quasi Ruled Surfaces in Euclidean 3-space

A Elsharkawy, H Elsayied, A Refaat - European Journal of Pure and …, 2025 - ejpam.com
This paper introduces three distinct types of ruled surfaces, namely, the quasi-tangent
surfaces, the quasi-normal surfaces, and the quasi-binormal surfaces. These types are …

An Advanced Approach to Bertrand Curves in 4-Dimensional Minkowski Space

A Elsharkawy, A Ali, M Hanif… - Journal of …, 2025 - iris.uninettunouniversity.net
This work presents a novel and comprehensive approach to the study of Bertrand curves in
4-dimensional Minkowski space (R 4 1). We introduce a new Frenet frame specifically …