Hamiltonian systems with a discrete symmetry
Copyright policy )Hamiltonian systems with a discrete symmetry
AbstractIf ƒ: M → M is an antisymplectic involution of a symplectic manifold M then the fixed set of ƒ is a Lagrangian submanifold L ⊂ M. Moreover there exist cotangent bundle coordinates in a neighborhood of L in M such that ƒ in these coordinates maps a covector into its negative. Thus classical examples which have a discrete symmetry such as the restricted three-body problems are locally like a reversible system.
- University of Cincinnati United States
- University System of Ohio United States
Hamilton's equations, symplectic geometry, Three-body problems, General geometric structures on manifolds (almost complex, almost product structures, etc.), symmetries, Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics, Lagrangian submanifolds, Analysis
Hamilton's equations, symplectic geometry, Three-body problems, General geometric structures on manifolds (almost complex, almost product structures, etc.), symmetries, Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics, Lagrangian submanifolds, Analysis
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