Almost product structures and Poisson reduction of presymplectic systems.

There are two natural generalizatión of simplectic manifolds. The first one is obtained by considering the Poisson bracket defined from the sympletic form and gives rise to the notion of Poisson manifold.

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Keywords

almost product structure, Sistema hamiltoniano, presymplectic structure, Variedades de Poisson, General geometric structures on manifolds (almost complex, almost product structures, etc.), Ecuaciones de Lagrange, Symmetries, invariants, invariant manifolds, momentum maps, reduction, Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics, Poisson reduction, Lagrange's equations, Variedad simpléctica

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