Characterization of Tzitzeica Curves Using Positional Adapted Frame

Authors : Kahraman Esen Özen, Zehra Işbilir, Murat Tosun

Pages : 260-268

View : 35 | Download : 10

Publication Date : 2022-10-31

Article Type : Research

Abstract :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 elements. Also, some results are obtained on spherical Tzitz\'eica curves. The results obtained in this study are new contributions to the field. It is expected that these results will be useful in various application areas of differential geometry and applied mathematics in the future.
Keywords : Kinematics of a particle, Positional Adapted Frame, Tzitz, Differential equations