\(J\)-trajectories in 4-dimensional solvable Lie group \(\mathrm{Sol}_0^4\)

DOI10.1007/s11040-022-09418-5zbMath1491.53034OpenAlexW4220821017WikidataQ115381788 ScholiaQ115381788MaRDI QIDQ2124662

Zlatko Erjavec, Jun-Ichi Inoguchi

Publication date: 11 April 2022

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

Full work available at URL: https://doi.org/10.1007/s11040-022-09418-5

zbMATH Keywords

solvable Lie groupmagnetic curveInoue surface\(J\)-trajectory

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Global differential geometry of Hermitian and Kählerian manifolds (53C55) 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 (4)

\(J\)-trajectories in 4-dimensional solvable Lie group \(\mathrm{Sol}_1^4\) ⋮ Minimal submanifolds in \(\mathrm{Sol}_1^4\) ⋮ Killing Magnetic Curves in $\: \mathbb{H}^{3}$ ⋮ Minimal submanifolds in \(\mathrm{Sol}_0^4\)

Cites Work

• Metrics on 4-dimensional unimodular Lie groups
• A conceptual approach to the problem of action-angle variables
• Geometry and dynamics of integrable systems. Lecture notes for the advanced course, Barcelona, Spain, September 2013. Edited by Eva Miranda and Vladimir Matveev
• Invariant complex structures on four-dimensional solvable real Lie groups
• Homogeneous Riemannian spaces of four dimensions
• Geometric structures on compact complex analytic surfaces
• Curvatures of tangent bundles with Cheeger-Gromoll metric
• On locally conformal almost Kaehler manifolds
• Structures affines et projectives sur les surfaces complexes. (Affine and projective structures on complex surfaces)
• Invariant complex structures on solvable real Lie groups
• Periodic \(J\)-trajectories on \(\mathbb{R} \times \mathbb{S}^3\)
• On surfaces of class VII\(_0\)
• Dynamics on \(\mathbb{S}^3\) and the Hopf fibration
• On circles and spheres in Riemannian geometry
• A note about integrable systems on low-dimensional Lie groups and Lie algebras
• Locally conformally Kähler structures on four-dimensional solvable Lie algebras
• Product structures on four dimensional solvable Lie algebras
• \(J\)-trajectories in Vaisman manifolds
• Classification of Solvable Lie Algebras
• Integrable almost-symplectic Hamiltonian systems
• First steps in symplectic topology
• Realizations of real low-dimensional Lie algebras
• Slant Curves and Magnetic Curves
• J-trajectories in Locally Conformal Kahler Manifolds with Parallel Anti Lee Field
• Locally Conformally Kähler Structures on Homogeneous Spaces
• Hamiltonian vector fields on almost symplectic manifolds
• UNIMODULAR GROUPS OF TYPE ℝ³⋊ ℝ
• SOME SMOOTH ERGODIC SYSTEMS
• Simpleness and closedness of circles in compact Hermitian symmetric spaces
• Note on locally conformal Kähler surfaces
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