Kähler magnetic fields on Kähler manifolds of negative curvature

DOI10.1016/J.DIFGEO.2011.04.001zbMath1228.53050OpenAlexW2058713464WikidataQ115356934 ScholiaQ115356934MaRDI QIDQ719808

Toshiaki Adachi

Publication date: 12 October 2011

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2011.04.001

zbMATH Keywords

trajectoriesHopf-Rinow theoremcomparison theoremsKähler magnetic fieldsmagnetic Jacobi fieldstrajectory-spheresHadamard-Cartan theoremmagnetic exponential maps

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Geodesics in global differential geometry (53C22)

Related Items (9)

Differential geometry of magnetic and Killing magnetic trajectories in de Sitter 3-space ⋮ Magnetic curves in cosymplectic manifolds ⋮ Magnetic maps ⋮ Magnetic trajectories on 2-step nilmanifolds ⋮ Geometric properties of rotation minimizing vector fields along curves in Riemannian manifolds ⋮ Magnetic curves in the generalized Heisenberg group ⋮ Magnetic curves in Sasakian manifolds ⋮ Magnetic curves corresponding to Killing magnetic fields in ${\mathbb {E}}^3$E3 ⋮ Walker manifolds and Killing magnetic curves

Cites Work

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• A theorem of Hadamard-Cartan type for Kähler magnetic fields
• Magnetic flows of Anosov type
• A characterization of constant isotropic immersions by circles
• Kähler magnetic flows for a manifold of constant holomorphic sectional curvature
• Visibility manifolds
• Spherical Means and Geodesic Chains on a Riemannian Manifold
• A comparison theorem on magnetic jacobi fields
• MAGNETIC JACOBI FIELDS FOR KÄHLER MAGNETIC FIELDS
• Circular trajectories on real hypersurfaces in a nonflat complex space form

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