Magnetic trajectories on tangent sphere bundle with g-natural metrics

DOI10.1007/s10231-020-01024-yzbMath1465.53031OpenAlexW3080277309MaRDI QIDQ2663148

Noura Amri, Mohamed Tahar Kadaoui Abbassi, Marian Ioan Munteanu

Publication date: 16 April 2021

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-020-01024-y

zbMATH Keywords

geodesics\(g\)-natural metricsunit tangent (sphere) bundlemagnetic curves

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Methods of local Riemannian geometry (53B21)

Related Items

Geodesics and natural complex magnetic trajectories on tangent bundles

Cites Work

• Unnamed Item
• Unnamed Item
• Paracontact metric structures on the unit tangent sphere bundle
• Magnetic curves in tangent sphere bundles. II
• An existence theorem for harmonic sections
• Naturality of homogeneous metrics on stiefel manifolds \(SO(m + 1)/SO(m - 1)\)
• \(g\)-natural contact metrics on unit tangent sphere bundles
• On the tangent sphere bundle of a 2-sphere
• On some hereditary properties of Riemannian \(g\)-natural metrics on tangent bundles of Riemannian manifolds
• Magnetic curves on tangent sphere bundles
• Geodesics on the tangent sphere bundles over space forms.
• Metrics of Kaluza–Klein type on the anti‐de Sitter space
• Concircular geometry I. Concircular transformations
• Riemannian geometry of contact and symplectic manifolds