Topological and Geometrical Properties of <i>k</i>-Symplectic Structures
Essabab Said,
Fanich El Mokhtar,
Awane Azzouz
Affiliations
Essabab Said
Laboratory of Analysis, Modeling and Simulation (LAMS), Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, P.O. Box 7955, Casablanca 20670, Morocco
Fanich El Mokhtar
Laboratory of Analysis, Modeling and Simulation (LAMS), Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, P.O. Box 7955, Casablanca 20670, Morocco
Awane Azzouz
Laboratory of Analysis, Modeling and Simulation (LAMS), Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, P.O. Box 7955, Casablanca 20670, Morocco
We study new geometrical and topological aspects of polarized k-symplectic manifolds. In addition, we study the De Rham cohomology groups of the k-symplectic group. In this work, we pay particular attention to the problem of the orientation of polarized k-symplectic manifolds in a way analogous to symplectic manifolds which are all orientable.
