Geodesics and magnetic curves in the 4-dim almost Kähler model space \(\mathrm{F}^4\)

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Kähler manifolds (32Q15) Geodesics in global differential geometry (53C22) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Differential geometry of symmetric spaces (53C35)

Cites Work

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Magnetic curves in cosymplectic manifolds
Totally geodesic hypersurfaces of four-dimensional generalized symmetric spaces
Symplectic, complex and Kähler structures on four-dimensional generalized symmetric spaces
Local rigidity and nonrigidity of symplectic pairs
Homogeneous Riemannian spaces of four dimensions
On magnetic curves in almost cosymplectic sol space
Examples of non-Kähler symplectic manifolds
Motion of charged particles and homogeneous geodesics in Kähler \(C\)-spaces with two isotropy summands
Curvature properties of four-dimensional generalized symmetric spaces
Geometric structures on compact complex analytic surfaces
On Lie groups with left-invariant symplectic or Kählerian structures
On curvature properties of Kähler C-spaces
Trajectories of charged particles in Kähler magnetic fields
Local rigidity of certain classes of almost Kähler 4-manifolds
Killing magnetic curves in Sol space
Periodic \(J\)-trajectories on \(\mathbb{R} \times \mathbb{S}^3\)
Classifying 3 and 4 dimensional homogeneous Riemannian manifolds by Cartan triples
A new construction of symplectic manifolds
\(J\)-trajectories in 4-dimensional solvable Lie group \(\mathrm{Sol}_0^4\)
The classification of Killing magnetic curves in \(\mathbb S^2 \times \mathbb R\)
Almost Kähler 4-dimensional Lie groups with \(J\)-invariant Ricci tensor
Magnetic curves in the real special linear group
\(J\)-trajectories in Vaisman manifolds
Holomorphic helices in a complex space form
Shorter Notes: Some Simple Examples of Symplectic Manifolds
Conformal flatness and self-duality of Thurston-geometries
Riemannian Manifolds and Homogeneous Geodesics
J-trajectories in Locally Conformal Kahler Manifolds with Parallel Anti Lee Field
Magnetic curves in Sasakian manifolds
Geometric properties of generalized symmetric spaces
Magnetic geodesic flows on coadjoint orbits
The geometry of symplectic pairs
Magnetic curves in Sol₃
Generalized symmetric spaces
Simpleness and closedness of circles in compact Hermitian symmetric spaces
\(J\)-trajectories in 4-dimensional solvable Lie group \(\mathrm{Sol}_1^4\)

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