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An approach to Hamiltonian mechanics on glued symplectic pseudomanifolds

Batubenge A., Sasin W.

Demonstratio Mathematica

2008

Vol. 41, nr 4

941-960

We define a class of Frolicher spaces locally diffeomorphic to Frolicher subspaces of the Euclidean space Rn and we call them pseudomanifolds. These differential constructs carry symplectic geometry so that Hamiltonian systems are naturally introduced. When gluing together symplectic pseudomanifolds which intersect transversally, it turns out that up to an equivalence relation, the glued space is symplectic and smooth integral curves extend to singular points.