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FERNANDO ALCALDE CUESTA The purpose of this paper is to prove the existence of a symplectic realization for a large classe of regular Poisson manifolds with riemannian two dimensional characteristic foliation . To do so, we will show that the homotopy groupoid of a riemannian foliation is locally trivial .doi:10.5565/publmat_33389_01 fatcat:ju64k4y5rjhddi5w6k3ckpcjxa