Maslov index and Morse theory for the relativistic Lorentz force equation

DOI10.1007/S00229-004-0441-5zbMath1060.58010OpenAlexW2013353209MaRDI QIDQ1882755

Erasmo Caponio, Paolo Piccione, Antonio Masiello

Publication date: 1 October 2004

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-004-0441-5

zbMATH Keywords

Morse theoryLorentz forceMaslov indexgrowth conditionsLorentzian manifoldsstatic manifolds

Mathematics Subject Classification ID

Lagrangian submanifolds; Maslov index (53D12) Equations of motion in general relativity and gravitational theory (83C10) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10)

Related Items (4)

A variational setting for an indefinite Lagrangian with an affine Noether charge ⋮ On the Maslov index in a symplectic reduction and applications ⋮ A bifurcation result for semi-Riemannian trajectories of the Lorentz force equation ⋮ Connecting solutions of the Lorentz force equation do exist

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