Polarized vectorial Poisson structures
Azzouz Awane, Ismail Benali, Souhaila El Amine
TL;DR
This paper explores the properties and examples of polarized vectorial Poisson structures on polarized k-symplectic manifolds, expanding the understanding of their geometric and algebraic features.
Contribution
It introduces the concept of polarized vectorial Poisson manifolds and investigates their properties, providing new insights into their structure and applications.
Findings
Characterization of polarized vectorial Poisson structures
Examples illustrating the structures and properties
Extension of Poisson geometry to polarized k-symplectic contexts
Abstract
We study various properties of polarized vectorial Poisson structures subordinate to polarized k-symplectic manifolds, and also, we study the notion of polarized vectorial Poisson manifold. Some properties and examples are given.
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Taxonomy
TopicsAdvanced Topics in Algebra · Algebraic structures and combinatorial models · Finite Group Theory Research