Geometric Hamilton–Jacobi theory on Nambu–Poisson manifolds

DOI10.1063/1.4978853zbMath1380.70044arXiv1604.08904OpenAlexW3104813635MaRDI QIDQ2974662

Manuel de León, Cristina Sardón

Publication date: 10 April 2017

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1604.08904

zbMATH Keywords

Hamilton-Jacobi equationLagrangian submanifoldssystem of \(n\) copies of first-order differential Riccati equationthird-order Kummer-Schwarz equations

Mathematics Subject Classification ID

Hamilton's equations (70H05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Hamilton-Jacobi equations in mechanics (70H20) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (8)

Geometric Hamilton–Jacobi theory for systems with external forces ⋮ A Hamilton–Jacobi formalism for higher order implicit Lagrangians ⋮ Hamilton-Jacobi theory and integrability for autonomous and non-autonomous contact systems ⋮ A Hamilton–Jacobi theory for implicit differential systems ⋮ Nambu structures and associated bialgebroids ⋮ On time-dependent Hamiltonian realizations of planar and nonplanar systems ⋮ A geometric Hamilton–Jacobi theory on a Nambu–Jacobi manifold ⋮ Reviewing the geometric Hamilton–Jacobi theory concerning Jacobi and Leibniz identities

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