Darboux vector in four-dimensional space-time

DOI10.1155/2022/9044567zbMath1496.83011OpenAlexW4223458157MaRDI QIDQ2142436

Na Hu, Yang Jiang, Ting-Ting Zhang

Publication date: 27 May 2022

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2022/9044567

Mathematics Subject Classification ID

Gravitational energy and conservation laws; groups of motions (83C40) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Minkowski geometries in nonlinear incidence geometry (51B20) Controllability of vector fields on (C^infty) and real-analytic manifolds (57R27)

Cites Work

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• On \(k\)-type pseudo null Darboux helices in Minkowski 3-space
• Null Darboux developable and pseudo-spherical Darboux image of null Cartan curve in Minkowski 3-space
• A classification of Einstein lightlike hypersurfaces of a Lorentzian space form
• Slant geometry on spacelike submanifolds of codimension two in Lorentz-Minkowski space
• Entire spacelike hypersurfaces of constant mean curvature in Minkowski space
• Spacelike hypersurfaces with constant higher order mean curvature in Minkowski space-time
• Relativistic particles and the geometry of 4-D null curves
• Time-like surfaces in the Lorentz-Minkowski space with prescribed Gaussian curvature and Gauss map
• (\(k, m)\)-type slant helices for partially null and pseudo null curves in Minkowski space \(\mathbb{E}_1^4\)
• $k-$type partially null and pseudo null slant helices in Minkowski 4-space
• Pseudo‐spherical Darboux images and lightcone images of principal‐directional curves of nonlightlike curves in Minkowski 3‐space
• Spacelike and timelike normal curves in Minkowski space-time
• When Does the Position Vector of a Space Curve Always Lie in Its Rectifying Plane?
• On k‐type null Cartan slant helices in Minkowski 3‐space
• Extension of the Darboux frame into Euclidean 4-space and its invariants
• On Darboux helices in Euclidean 4‐space
• Lightlike flat geometry of spacelike submanifolds in Lorentz–Minkowski space

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