Magnetic curves on tangent sphere bundles

DOI10.1007/S13398-018-0600-2zbMath1428.53026OpenAlexW2901577468MaRDI QIDQ2317555

Marian Ioan Munteanu, Jun-Ichi Inoguchi

Publication date: 12 August 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-018-0600-2

zbMATH Keywords

tangent sphere bundlecontact metric structuremagnetic curve

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 (6)

Geodesics and natural complex magnetic trajectories on tangent bundles ⋮ Slant Curves and Magnetic Curves ⋮ Differential geometry of magnetic and Killing magnetic trajectories in de Sitter 3-space ⋮ Magnetic trajectories on tangent sphere bundle with g-natural metrics ⋮ Magnetic fields on the tangent bundle over Kählerian manifolds ⋮ Magnetic unit vector fields

Cites Work

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• Magnetic curves in cosymplectic manifolds
• On the differential geometry of tangent bundles of Riemannian manifolds
• Geodesics in the unit tangent bundle of a round sphere
• On the tangent sphere bundle of a 2-sphere
• Contact manifolds in Riemannian geometry
• On the tangent sphere bundle of a Riemannian 2-manifold
• Geodesics on the tangent sphere bundle of a Riemannian manifold
• On tangent sphere bundles with small or large constant radius
• Kähler magnetic flows for a manifold of constant holomorphic sectional curvature
• Magnetic curves in quasi-Sasakian 3-manifolds
• Magnetic trajectories in an almost contact metric manifold \(\mathbb R^{2N+1}\)
• Periodic magnetic curves in Berger spheres
• A note on magnetic curves on image
• On the Geometry of the Tangent Bundle.
• The Hamiltonian formalism and a many-valued analogue of Morse theory
• Geodesics on the tangent sphere bundles over space forms.
• Geodesics on the unit tangent bundle
• Magnetic curves in Sasakian manifolds
• Concircular geometry V. Einstein spaces
• Riemannian geometry of contact and symplectic manifolds

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