On the Affine and Affine Polarized k-Symplectic Manifolds

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DOI: https://doi.org/10.28924/2291-8639-22-2024-93
Published: May 31, 2024
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El Mokhtar Fanich, Abdallah Labsir, Said Essabab, On the Affine and Affine Polarized k-Symplectic Manifolds, Int. J. Anal. Appl., 22 (2024), 93.

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El Mokhtar Fanich, Abdallah Labsir, Said Essabab

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].

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