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

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

In this paper, we analyze the intrinsic geometry of lightlike planes in the three-dimensional Lorentz–Minkowski space M3. We connect the theory of curves lying in lightlike planes in M3 with the theory of curves in the simply isotropic plane I2. Based on these relations, we characterize some special...

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Veröffentlicht in:Mathematics (Basel) 2023-12, Vol.11 (24), p.4880
Hauptverfasser: Filipan, Ivana, Milin Šipuš, Željka, Primorac Gajčić, Ljiljana
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Curves
Euclidean space
Geometry
isotropic curvature
lightlike plane
Lorentz transformations
Lorentz–Minkowski space
Minkowski space
Planes
pseudo-null curve
pseudo-torsion
Vector space
Vector spaces
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Zusammenfassung:In this paper, we analyze the intrinsic geometry of lightlike planes in the three-dimensional Lorentz–Minkowski space M3. We connect the theory of curves lying in lightlike planes in M3 with the theory of curves in the simply isotropic plane I2. Based on these relations, we characterize some special classes of curves that lie in lightlike planes in M3.
ISSN:2227-7390
2227-7390
DOI:10.3390/math11244880