Reductions: precontact versus presymplectic
From MaRDI portal
Publication:6046843
DOI10.1007/s10231-023-01341-yzbMath1528.53075arXiv2211.16792OpenAlexW4379233041MaRDI QIDQ6046843
Katarzyna Grabowska, Janusz Grabowski
Publication date: 6 October 2023
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2211.16792
Momentum maps; symplectic reduction (53D20) Global theory of symplectic and contact manifolds (53D35) Contact manifolds (general theory) (53D10) Contact systems (37J55) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
Related Items
Scaling symmetries, contact reduction and Poincaré’s dream, Contact Lie systems: theory and applications
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Graded contact manifolds and contact Courant algebroids
- Contact fiber bundles
- Dirac-Jacobi bundles
- Integrability and reduction of Hamiltonian actions on Dirac manifolds
- Le théorème de réduction de Marsden-Weinstein en géométrie cosymplectique et de contact. (The Marsden-Weinstein reduction theorem in cosymplectic and contact geometry)
- On the existence of slices for actions of non-compact Lie groups
- Homogeneous quantization and multiplicities of group representations
- Higher vector bundles and multi-graded symplectic manifolds
- A Hamilton-Jacobi formalism for thermodynamics
- Géométrie des algèbres de Lie locales de Kirillov
- Local Lie algebra structure and momentum mapping
- Structure locale des variétés de Jacobi. (Local structure of Jacobi manifolds)
- Contact structure in thermodynamic theory
- Reduction of symplectic manifolds with symmetry
- Les variétés de Jacobi et leurs algèbres de Lie associees
- Momentum maps and Hamiltonian reduction
- Quasi-derivations and QD-algebroids
- Deformations of coisotropic submanifolds in Jacobi manifolds
- Rigidity of integral coisotropic submanifolds of contact manifolds
- Contact manifolds and dissipation, classical and quantum
- Symmetries and reduction of multiplicative 2-forms
- Chekanov's dichotomy in contact topology
- Remarks on contact and Jacobi geometry
- Cosphere bundle reduction in contact geometry
- Jacobi bundles and the BFV-complex
- Tulczyjew triples: from statics to field theory
- On the motion of particles and strings, presymplectic mechanics, and the variational bicomplex
- Contact Hamiltonian mechanics
- Time-dependent mechanics and Lagrangian submanifolds of presymplectic and Poisson manifolds
- Contact reduction
- Poisson–Jacobi reduction of homogeneous tensors
- Reduction of Local Lie Algebra Structures
- Presymplectic manifolds and the Dirac–Bergmann theory of constraints
- LOCAL LIE ALGEBRAS
- Reduction of Jacobi manifolds
- Constructions of contact manifolds
- The graded Jacobi algebras and (co)homology
- REDUCTION OF PRESYMPLECTIC MANIFOLDS WITH SYMMETRY
- Reduction of constrained systems with symmetries
- Covariant variational evolution and Jacobi brackets: Particles
- Covariant Variational Evolution and Jacobi brackets: Fields
- Holomorphic Jacobi manifolds
- Contact Hamiltonian systems
- An Introduction to Contact Topology
- Contact reduction and groupoid actions
- Kählerian Coset Spaces of Semisimple Lie Groups
- A geometric approach to contact Hamiltonians and contact Hamilton–Jacobi theory
- A note on toric contact geometry
- Symmetry and reduction in implicit generalized Hamiltonian systems
- A brief history of contact geometry and topology.
- Linear duals of graded bundles and higher analogues of (Lie) algebroids
- Unified Lagrangian‐Hamiltonian Formalism for Contact Systems
- Time-dependent contact mechanics
