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Topological and Geometrical Properties of k-Symplectic Structures

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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… Click to show full abstract

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.

Keywords: symplectic structures; geometrical properties; symplectic manifolds; properties symplectic; topological geometrical

Journal Title: Axioms
Year Published: 2022

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