Explicit formulas for Killing magnetic curves in three-dimensional Heisenberg group

DOI10.1142/s0219887821501358arXiv2103.11234WikidataQ113776774 ScholiaQ113776774MaRDI QIDQ6125280

Fouzi Hathout, Unnamed Author

Publication date: 11 April 2024

Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.11234

zbMATH Keywords

Heisenberg groupKilling vector fieldsKilling magnetic curvesgeodesic Killing magnetic curves

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Curves in Euclidean and related spaces (53A04)

Cites Work

• Unnamed Item
• Magnetic curves in cosymplectic manifolds
• On magnetic curves in almost cosymplectic sol space
• An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
• Au sujet des flots riemanniens sur le groupe nilpotent de Heisenberg. (On Riemannian flows on the nilpotent Heisenberg group)
• Curvatures of left invariant metrics on Lie groups
• Killing magnetic curves in Sol space
• Killing magnetic curves in a Minkowski 3-space
• The Gauss map of minimal graphs in the Heisenberg group
• On Killing magnetic curves in \(\mathrm{SL}(2,\mathbb{R})\) geometry
• Walker manifolds and Killing magnetic curves
• The classification of Killing magnetic curves in \(\mathbb S^2 \times \mathbb R\)
• Killing magnetic curves in three-dimensional almost paracontact manifolds
• Magnetic curves corresponding to Killing magnetic fields in ${\mathbb {E}}^3$E3
• Magnetic curves in Sasakian manifolds

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