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

Ivana Filipan, Željka Milin Šipuš () and Ljiljana Primorac Gajčić
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Ivana Filipan: Faculty of Mining, Geology and Petroleum Engineering, University of Zagreb, 10000 Zagreb, Croatia
Željka Milin Šipuš: Department of Mathematics, Faculty of Science, University of Zagreb, 10000 Zagreb, Croatia
Ljiljana Primorac Gajčić: School of Applied Mathematics and Computer Science, University of Osijek, 31000 Osijek, Croatia

Mathematics, 2023, vol. 11, issue 24, 1-12

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 .

Keywords: Lorentz–Minkowski space; pseudo-null curve; pseudo-torsion; isotropic curvature; lightlike plane (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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