Characterization of Three-dimensional Jacobi-Poisson Manifolds
DOI:
https://doi.org/10.29020/nybg.ejpam.v18i3.5743Keywords:
Jacobi structures, Poisson structures, pseudo-Riemannian metricAbstract
After a reminder of essential notions concerning Jacobi and Poisson manifolds, we study the relationships between their structures. We also show that for any three-dimensional Jacobi manifold, we can construct a Poisson structure on the same manifold. The paper concludes with some examples of such manifolds.
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Copyright (c) 2025 Mahamane Saminou Ali, Ibrahima Hamidine, Tankary Banaou Tankary Banaou, Mouhamadou Hassirou
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