On the Cartan curvatures of a null curve in Minkowski space-time

DOI10.1007/s10711-005-4804-1zbMath1082.53017OpenAlexW2033375847MaRDI QIDQ2572573

Ünver Çiftçi, A. Ceylan Coken

Publication date: 10 November 2005

Published in: Geometriae Dedicata (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10711-005-4804-1

zbMATH Keywords

null curvesBertrand curvesCartan curvaturespseudo-sphere

Mathematics Subject Classification ID

Curves in Euclidean and related spaces (53A04) Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items

Singularities of worldsheets associated with null Cartan curves in Lorentz–Minkowski space–time, Lightlike hypersurfaces and lightlike focal sets with respect to Bishop frame in 4-dimensional Minkowski Space E1-4., Similar and self-similar null Cartan curves in Minkowski-Lorentzian spaces, A report on canonical null curves and screen distributions for lightlike geometry, On focal curves of null Cartan curves, Unnamed Item, On bi-null Cartan curves in semi-Euclidean 6-space with index 3, Null \(W\)-slant helices in \(E_1^3\), Bi-null Cartan curves in semi-Euclidean spaces of index 2, Curves of AW\((k)\)-type in 3-dimensional null cone, On invariants of null curves in the pseudo-Euclidean geometry, Lorentzian stationary surfaces and null curves in \({\mathbb R^4_2}\), MOTIONS OF CARTAN CURVES IN n-DIMENSIONAL MINKOWSKI SPACE

Cites Work

• Null vectors, spinors, and strings
• Geometrical particle models on 3D null curves
• NULL HELICES IN LORENTZIAN SPACE FORMS
• Local differential geometry of null curves in conformally flat space-time
• Classical strings in ten dimensions
• Transport along null curves