Magnetic flatness and E. Hopf's theorem for magnetic systems

DOI10.1007/S00220-024-05166-5MaRDI QIDQ6662831

Author name not available (Why is that?), Ivo Terek, Valerio Assenza

Publication date: 14 January 2025

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Global differential geometry (53Cxx) Dynamical systems with hyperbolic behavior (37Dxx)

Cites Work

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An estimate of the spread of trajectories for Kähler magnetic fields
A theorem of Hadamard-Cartan type for Kähler magnetic fields
Closed orbits of a charge in a weakly exact magnetic field
Green bundles and regularity of \(C^0\)-Lagrangians invariant graphs of Tonelli flows.
Symplectic topology of Mañé's critical values
The theorem of E. Hopf under uniform magnetic fields
Geodesic flows
Riemannian tori without conjugate points are flat
Magnetic flows of Anosov type
The Palais-Smale condition and Mañé's critical values
Symplectic twist maps without conjugate points
Kähler magnetic flows for a manifold of constant holomorphic sectional curvature
Scattering boundary rigidity in the presence of a magnetic field
Comparison theorems on trajectory-harps for Kähler magnetic fields which are holomorphic at their arches
A comparison theorem on harp-sectors for Kähler magnetic fields
A theorem of E. Hopf
Applications of Hofer's geometry to Hamiltonian dynamics
The Palais-Smale condition on contact type energy levels for convex Lagrangian systems
The Gauss-Landau-Hall problem on Riemannian surfaces
Convex Hamiltonians without conjugate points
Periodic orbits in magnetic fields and Ricci curvature of Lagrangian systems
A comparison theorem on magnetic jacobi fields
A geometric proof of the existence of the Green bundles
Anosov magnetic flows, critical values and topological entropy
Rigidity for periodic magnetic fields
Magnetic flows and Gaussian thermostats on manifolds of negative curvature
SOME SMOOTH ERGODIC SYSTEMS
The Lusternik–Fet theorem for autonomous Tonelli Hamiltonian systems on twisted cotangent bundles
Closed Surfaces Without Conjugate Points

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