Characterization of Tzitzeica Curves Using Positional Adapted Frame

Year 2022, Volume: 10 Issue: 2, 260 - 268, 31.10.2022

Kahraman Esen Özen Zehra İşbilir Murat Tosun

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

Thanks

The authors would like to thank editors and anonymous referees for their valuable comments and carefully reading.

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