Magnetic curves in quasi-Sasakian 3-manifolds

DOI10.1007/s13324-017-0180-xzbMath1417.53033OpenAlexW2626300442MaRDI QIDQ1999805

Marian Ioan Munteanu, Ana Irina Nistor, Jun-Ichi Inoguchi

Publication date: 27 June 2019

Published in: Analysis and Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13324-017-0180-x

zbMATH Keywords

geodesicquasi-Sasakian manifoldmagnetic curveslant 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)

Related Items (10)

Slant Curves and Magnetic Curves ⋮ Differential geometry of magnetic and Killing magnetic trajectories in de Sitter 3-space ⋮ Unnamed Item ⋮ \(J\)-trajectories in 4-dimensional solvable Lie group \(\mathrm{Sol}_1^4\) ⋮ Killing submersions and magnetic curves ⋮ Magnetic trajectories on 2-step nilmanifolds ⋮ Pseudo-Hermitian magnetic curves in normal almost contact metric 3-manifolds ⋮ Magnetic curves in the generalized Heisenberg group ⋮ Magnetic curves on tangent sphere bundles ⋮ On magnetic curves in almost cosymplectic sol space

Cites Work

• Magnetic curves in cosymplectic manifolds
• On differentiable manifolds with certain structures which are closely related to almost contact structure. II
• Quasi-Sasakian manifolds
• Pseudo-hermitian structures on a real hypersurface
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• Parallel spinors and connections with skew-symmetric torsion in string theory.
• On some classes of almost contact metric manifolds
• Affine biharmonic curves in 3-dimensional homogeneous geometries
• Magnetic trajectories in an almost contact metric manifold \(\mathbb R^{2N+1}\)
• Periodic magnetic curves in Berger spheres
• The classification of Killing magnetic curves in \(\mathbb S^2 \times \mathbb R\)
• The theory of quasi-Sasakian structures
• The topology of contact Riemannian manifolds
• Quasi-Sasakian structures of rank 2p + 1
• Some remarks on space with a certain contact structure
• Normal almost contact metric manifolds of dimension three
• Magnetic curves in Sasakian manifolds
• Riemannian geometry of contact and symplectic manifolds
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