ON SECOND NOETHER'S THEOREM AND GAUGE SYMMETRIES IN MECHANICS
DOI10.1142/S0219887806001193zbMath1098.70016arXivmath/0511180OpenAlexW2019896391MaRDI QIDQ5484700
José F. Cariñena, Joan-Andreu Lázaro-Camí, Eduardo Martínez
Publication date: 21 August 2006
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0511180
Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Research exposition (monographs, survey articles) pertaining to mechanics of particles and systems (70-02)
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Cites Work
- A geometric approach to Noether's second theorem in time-dependent Lagrangian mechanics
- Noether's theorem in time-dependent Lagrangian mechanics
- On the multisymplectic formalism for first order field theories
- On the construction of \(\mathcal K\)-operators in field theories as sections along Legendre maps
- Lie brackets on affine bundles
- Lie algebroid structures and Lagrangian systems on affine bundles
- Canonical Noether symmetries and commutativity properties for gauge systems
- Existence theorem for gauge symmetries in Hamiltonian constrained systems
- Perturbative quantum corrections and flux compactifications
- New relations between Hamiltonian and Lagrangian constraints
- RIGID AND GAUGE NOETHER SYMMETRIES FOR CONSTRAINED SYSTEMS
- Singular Lagrangian Systems on Jet Bundles
- Singular Lagrangians: some geometric structures along the Legendre map
- A new approach to the converse of Noether's theorem
- Equivalence between the Lagrangian and Hamiltonian formalism for constrained systems
