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Front. Phys.
Sec. Statistical and Computational Physics
Volume 12 - 2024 | doi: 10.3389/fphy.2024.1400730

Quasi-Position Vector Curves in Galilean 4-Space

Provisionally accepted
Ayman Elsharkawy Ayman Elsharkawy 1,2*Noha Elsharkawy Noha Elsharkawy 2
  • 1 Faculty of Science, Tanta University, Tanta, Egypt
  • 2 Tanta University, Tanta, Gharbia, Egypt

The final, formatted version of the article will be published soon.

    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 quasi-frame is investigated in Galilean 4-space. Further, the quasi formulas in Galilean 4 space are deduced. Moreover, the quasi curvatures are obtained in terms of the quasi frame and its derivatives. quasi-rectifying, quasi-normal, and quasi-osculating curves are studied in Galilean 4-space. We prove that there is no quasi-normal and accordingly normal curve in Galilean 4-space.

    Keywords: Galilean space, Quasi-frame, quasi formulas, quasi curvatures, quasi-rectifying, quasi-osculating, Quasi-normal

    Received: 14 Mar 2024; Accepted: 12 Jun 2024.

    Copyright: © 2024 Elsharkawy and Elsharkawy. This is an open-access article distributed under the terms of the Creative Commons Attribution License (CC BY). The use, distribution or reproduction in other forums is permitted, provided the original author(s) or licensor are credited and that the original publication in this journal is cited, in accordance with accepted academic practice. No use, distribution or reproduction is permitted which does not comply with these terms.

    * Correspondence: Ayman Elsharkawy, Faculty of Science, Tanta University, Tanta, Egypt

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