Running summarizing tools on a new article

Abstract: We are interested in studying the affine and the affine polarized k-symplectic manifolds exploiting the action of the polarized k-symplectic group Sp(k,n;R), especially when it acts properly and discontinuously without fixed point in order to construct a particular class of affine polarized k-symplectic manifolds of odd dimension 2k’+1 with k’∈N∗ which will be a generalization of the case of dimension 3 studied in [8].