Exact smooth classification of Hamiltonian vector fields on two-dimensional manifolds

DOI10.1007/BF02355725zbMath0919.58027OpenAlexW1991592227MaRDI QIDQ1274037

Boris S. Kruglikov

Publication date: 23 March 1999

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02355725

zbMATH Keywords

germMorse functiontwo-dimensional manifold

Mathematics Subject Classification ID

Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

Related Items (5)

Geometry of integrable dynamical systems on 2-dimensional surfaces ⋮ Integrable dispersionless PDEs in 4D, their symmetry pseudogroups and deformations ⋮ Coadjoint orbits of symplectic diffeomorphisms of surfaces and ideal hydrodynamics ⋮ Exact classification of nondegenerate divergence-free vector fields on surfaces of small genus ⋮ The image in \(H^2(Q^3;\mathbb{R})\) of the set of closed 2-forms with preassigned kernel

Cites Work

• Unnamed Item
• Unnamed Item
• Normal forms for Hamiltonian systems with Poisson commuting integrals - elliptic case
• Le lemme de Morse isochore
• Action-angle coordinates at singularities for analytic integrable systems
• Rigidity of surfaces of positive external curvature with boundaries in a Riemann space
• A smooth trajectory classification of integrable Hamiltonian systems with two degrees of freedom
• A smooth trajectory classification of integrable Hamiltonian systems with two degrees of freedom
• On the Volume Elements on a Manifold

This page was built for publication: Exact smooth classification of Hamiltonian vector fields on two-dimensional manifolds