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Analysis uncovers connections between jacobi and poisson manifolds, suggesting new structural insights.
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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Ali et al. (2025) studied this question.
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