Homogeneity of magnetic trajectories in the real special linear group

DOI10.1090/proc/16596arXiv2401.13988OpenAlexW4389914447MaRDI QIDQ6154329

Jun-Ichi Inoguchi, Marian Ioan Munteanu

Publication date: 15 February 2024

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2401.13988

zbMATH Keywords

magnetic fieldhomogeneous geodesiccontact magnetic trajectoryreal special linear group

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) General geometric structures on low-dimensional manifolds (57M50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Relations of finite-dimensional Hamiltonian and Lagrangian systems with Lie algebras and other algebraic structures (37J37)

Cites Work

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• Naturally reductive metrics and Einstein metrics on compact Lie groups
• Periodic orbits in magnetic fields and Ricci curvature of Lagrangian systems
• Homogeneous manifolds whose geodesics are orbits. Recent results and some open problems
• Slant Curves and Magnetic Curves
• Introduction to Algebraic K-Theory. (AM-72)

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