The Poincaré variational principle in the Lagrange–Poincaré reduction of mechanical systems with symmetry
DOI10.1142/S0219887819500683zbMath1436.70004OpenAlexW2919166347MaRDI QIDQ5232430
Publication date: 3 September 2019
Published in: International Journal of Geometric Methods in Modern Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0219887819500683
Variational principles in infinite-dimensional spaces (58E30) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Lagrange's equations (70H03) 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- QED revisited: proving equivalence between path integral and stochastic quantization
- Geometric structure on the orbit space of gauge connections
- Some remarks on geodesics in gauge groups and harmonic maps
- Geometry of SU(2) gauge fields
- On the bundle of connections and the gauge orbit manifold in Yang-Mills theory
- The Riemannian geometry of the configuration space of gauge theories
- Some remarks on the Gribov ambiguity
- Reduction in principal bundles: covariant Lagrange-Poincaré equations
- Constrained dynamics. With applications to Yang-Mills theory, general relativity, classical spin, dual string model
- A review about invariance induced gravity: gravity and spin from local conformal-affine symmetry
- On the geometrical representation of the path integral reduction Jacobian: the case of dependent variables in a description of reduced motion
- Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
- Lagrangian reduction by stages
- Reduction theory and the Lagrange–Routh equations
- DIRAC VERSUS REDUCED PHASE SPACE QUANTIZATION FOR SYSTEMS ADMITTING NO GAUGE CONDITIONS
- Dependent coordinates in path integral measure factorization
- The theory of gravitation in Hamiltonian form
- Quantum Theory of Gravitation: General Formulation and Linearized Theory
- Fixation of Coordinates in the Hamiltonian Theory of Gravitation
- Canonical Variables for General Relativity
- Dynamical Structure and Definition of Energy in General Relativity
- The affine structure of gravitational theories: Symplectic groups and geometry
- GRAVITY FROM LOCAL POINCARÉ GAUGE INVARIANCE
- Lectures on Mechanics
- On the gauge orbit space stratification: a review
- The Geometry of the Orbit Space for Non-Abelian Gauge Theories
- Path integrals on a manifold with group action
- Higher-dimensional unification by isometry
- Generalized Hamiltonian Dynamics
This page was built for publication: The Poincaré variational principle in the Lagrange–Poincaré reduction of mechanical systems with symmetry
