Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 4th international conference on geometry, integrability and quantization, Sts. Constantine and Elena, Bulgaria, June 6–15, 2002. Sofia: Coral Press Scientific Publishing (ISBN 954-90618-4-1/pbk). 326-329 (2003).
Let be a manifold with local coordinates and let be the corresponding natural coordinates on the fibers of TM. The author introduces special symplectic forms of the kind
where is a nondegenerate Lagrangian and moreover the tensor field defined by , . Locally symplectic Lagrangian manifolds are such manifolds that are equipped with both objects and . They are characterized without use of coordinates and more involved generalization in Poisson geometry is stated, too. No proofs are given.
|53D05||Symplectic manifolds, general|