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On Some Examples of Trajectories in R 7

Author

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  • Ana Irina Nistor

    (Department of Mathematics and Informatics, “Gheorghe Asachi” Technical University of Iasi, Bd. Carol I, n. 11A, 700506 Iasi, Romania)

Abstract

In this paper we study the magnetic trajectories as the solutions of the Lorentz equation defined by the cross product corresponding to the 7-dimensional Euclidean space. We find several examples of such trajectories and moreover, we strongly motivate our results making a comparison with the 3-dimensional Euclidean case, ambient space which was among the first ones approached in the study of magnetic trajectories.

Suggested Citation

  • Ana Irina Nistor, 2022. "On Some Examples of Trajectories in R 7," Mathematics, MDPI, vol. 10(19), pages 1-17, September.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:19:p:3480-:d:923396
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