Periodic orbits in magnetic fields and Ricci curvature of Lagrangian systems

DOI10.1090/S0002-9947-98-02108-4zbMath0907.58009arXivdg-ga/9511016OpenAlexW1716198910MaRDI QIDQ4211071

Abbas Bahri, Iskander A. Taimanov

Publication date: 10 September 1998

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

Full work available at URL: https://arxiv.org/abs/dg-ga/9511016

zbMATH Keywords

Ricci curvatureperiodic orbitLagrangian systemMorse-Novikov inequalities

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Variational principles in infinite-dimensional spaces (58E30)

Related Items

Trajectories for relativistic particles under the action of an electromagnetic field in a stationary space-time, On an integrable magnetic geodesic flow on the two-torus, Time-like solutions to the Lorentz force equation in time-dependent electromagnetic and gravitational fields, Existence of curves with constant geodesic curvature in a Riemannian 2-sphere, Many closed \(K\)-magnetic geodesics on \(\mathbb{S}^2\), Geodesics in stationary spacetimes and classical Lagrangian systems, Periodic magnetic geodesics on almost every energy level via variational methods, Periodic orbits of Tonelli Lagrangians with prescribed action or period, Homogeneity of magnetic trajectories in the real special linear group, CONTRACTIBLE PERIODIC ORBITS OF LAGRANGIAN SYSTEMS, The type numbers of closed geodesics, Magnetic vortex filament flows, The multiplicity problem for periodic orbits of magnetic flows on the 2-sphere, Periodic orbits of convex Lagrangians and average energy, A bifurcation result for semi-Riemannian trajectories of the Lorentz force equation, Periodic orbits of Lagrangian systems with prescribed action or period, The contact property for symplectic magnetic fields on, CONVEXITY CONDITIONS ON THE BOUNDARY OF A STATIONARY SPACETIME AND APPLICATIONS, On the evolution equation for magnetic geodesics, Periodic orbits with prescribed abbreviated action

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