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Curves in Lightlike Planes in Three-Dimensional Lorentz–Minkowski Space

Author

Listed:
  • Ivana Filipan

    (Faculty of Mining, Geology and Petroleum Engineering, University of Zagreb, 10000 Zagreb, Croatia
    These authors contributed equally to this work.)

  • Željka Milin Šipuš

    (Department of Mathematics, Faculty of Science, University of Zagreb, 10000 Zagreb, Croatia
    These authors contributed equally to this work.)

  • Ljiljana Primorac Gajčić

    (School of Applied Mathematics and Computer Science, University of Osijek, 31000 Osijek, Croatia
    These authors contributed equally to this work.)

Abstract

In this paper, we analyze the intrinsic geometry of lightlike planes in the three-dimensional Lorentz–Minkowski space M 3 . We connect the theory of curves lying in lightlike planes in M 3 with the theory of curves in the simply isotropic plane I 2 . Based on these relations, we characterize some special classes of curves that lie in lightlike planes in M 3 .

Suggested Citation

  • Ivana Filipan & Željka Milin Šipuš & Ljiljana Primorac Gajčić, 2023. "Curves in Lightlike Planes in Three-Dimensional Lorentz–Minkowski Space," Mathematics, MDPI, vol. 11(24), pages 1-12, December.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:24:p:4880-:d:1294649
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