A variational setting for an indefinite Lagrangian with an affine Noether charge
DOI10.1007/s00526-022-02379-1OpenAlexW4283327083MaRDI QIDQ2680526
Publication date: 4 January 2023
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2206.09650
Variational methods for problems in mechanics (70G75) 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) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the existence of multiple geodesics in static space-times
- An intrinsic approach to the geodesical connectedness of stationary Lorentzian manifolds
- High action orbits for Tonelli Lagrangians and superlinear Hamiltonians on compact configuration spaces
- Periodic solutions of Lagrangian systems on a compact manifold
- Ljusternik-Schnirelmann theory on \(C^ 1\)-manifolds
- On the existence of geodesics on stationary Lorentz manifolds with convex boundary
- Trajectories connecting two events of a Lorentzian manifold in the presence of a vector field
- Deformation properties for continuous functionals and critical point theory
- A Finsler generalisation of Einstein's vacuum field equations
- A critical point theory for nonsmooth functionals
- Some global properties of static spacetimes
- Trajectories for relativistic particles under the action of an electromagnetic field in a stationary space-time
- Lyapounov functions of closed cone fields: from Conley theory to time functions
- On the variational principle
- Maslov index and Morse theory for the relativistic Lorentz force equation
- Light cones in Finsler spacetime
- On the definition and examples of cones and Finsler spacetimes
- Global hyperbolicity and Palais-Smale condition for action functionals in stationary spacetimes
- Fermat principle in Finsler spacetimes
- Homotopy theory of infinite dimensional manifolds
- Essais de géométrie riemannienne hyperbolique globale. Applications à la relativité générale
- Reduction theory and the Lagrange–Routh equations
- Penrose’s singularity theorem in a Finsler spacetime
- Standard static Finsler spacetimes
- On Fermat's principle for causal curves in time oriented Finsler spacetimes
- On Finsler spacetimes with a timelike Killing vector field
- On smooth time functions
- New geometrical methods of the theory of physical fields
- Routh’s procedure for non-Abelian symmetry groups
- A smooth pseudo-gradient for the Lagrangian action functional
- Category of loop spaces of open subsets in euclidean space
- Geometry of weighted Lorentz–Finsler manifolds I: singularity theorems
- On the Maslov index in a symplectic reduction and applications
- Causality theory for closed cone structures with applications
- Variational Methods
- Indefinite Finsler Spaces and Timelike Spaces
This page was built for publication: A variational setting for an indefinite Lagrangian with an affine Noether charge