Fixed energy solutions to the Euler-Lagrange equations of an indefinite Lagrangian with affine Noether charge
DOI10.1007/s10231-024-01424-4MaRDI QIDQ6594156
Dario Corona, Paolo Piccione, Erasmo Caponio, Roberto Giambò
Publication date: 28 August 2024
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Variational methods for problems in mechanics (70G75) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Lagrange's equations (70H03) Action-minimizing orbits and measures for finite-dimensional Hamiltonian and Lagrangian systems; variational principles; degree-theoretic methods (37J51) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
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