The Courant type algebroids, the coadjoint orbits, and related integrable flows

DOI10.1007/978-3-031-62407-0_31MaRDI QIDQ6611841

Victor Bovdi, Anatoliy K. Prykarpatsky

Publication date: 27 September 2024

zbMATH Keywords

invariantsintegrabilityPoisson structureHamiltonian systemscoadjoint orbitsdifferentiationCourant algebroidLie algebroidGrassmann algebra

Mathematics Subject Classification ID

Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Poisson manifolds; Poisson groupoids and algebroids (53D17) Momentum maps; symplectic reduction (53D20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• On Lie algebroids and Poisson algebras
• What is a classical r-matrix?
• Classical \(R\)-matrices on Poisson algebras and related dispersionless systems
• The evolution equation: an application of groupoids to material evolution
• Dispersionless multi-dimensional integrable systems and related conformal structure generating equations of mathematical physics
• Geometric structures on the orbits of loop diffeomorphism groups and related heavenly-type Hamiltonian systems. I
• Dirac Manifolds
• Lie Algebroids and Lie Pseudoalgebras
• Lagrangian submanifolds and dynamics on Lie algebroids
• Geometric structures on the orbits of loop diffeomorphism groups and related heavenly-type Hamiltonian systems. II

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