On the Affine and Affine Polarized k-Symplectic Manifolds

Fanich, El Mokhtar; Labsir, Abdallah; Essabab, Said

doi:10.28924/2291-8639-22-2024-93

Research Article

On the Affine and Affine Polarized k-Symplectic Manifolds

El Mokhtar Fanich
Abdallah Labsir*
Said Essabab

* Corresponding author

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].

How to Cite

E. M. Fanich, A. Labsir, S. Essabab, On the Affine and Affine Polarized k-Symplectic Manifolds, Int. J. Anal. Appl. 22 (2024), 93. https://doi.org/10.28924/2291-8639-22-2024-93

BibTeX

@article{Fanich2024,
  author  = {Fanich, El Mokhtar and Labsir, Abdallah and Essabab, Said},
  title   = {On the Affine and Affine Polarized k-Symplectic Manifolds},
  journal = {Int. J. Anal. Appl.},
  volume  = {22},
  year    = {2024},
  pages   = {93},
  doi     = {10.28924/2291-8639-22-2024-93}
}

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