For a Poisson manifold, a symplectic leaf is a maximal submanifold on which the Poisson bracket restricts to a symplectic manifold structure.
is foliated by its symplectic leaves.
Regular foliations by symplectic leafs have originally been found and studied in
- F. Bayen, M. Flato, C. Fronsdal, A. Lichnerovicz & D. Sternheimer, Deformation theory and quantization, Ann. Phys. I l l (1978) 61-151.
A detailed technical review is in the notes
- Jordan Watts, An introduction to Poisson manifolds (2007) (pdf)
Revised on April 23, 2013 20:50:26
by Urs Schreiber