Complex Structure on Pseudo-Riemannian Poisson Manifolds

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发表日期：

2024年

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Mahamane Saminou Ali,
Abdoulaye Tankary Banaou,
Mouhamadou Hassirou

摘要

This paper is in pursuit of results obtained in Ali et al. (Glob. J. Adv. Res. Clas. Mod. Geom. 6:(2), 62–71, 2017) and Hassirou (Pioneer J. Math. Math. Sci. 7(1):37–50, 2013). We introduce the notion of H-structure which give complex structure on Poisson manifold. The notion is a generalisation of almost complex structure on a co-tangent bundle. It’s show that any pseudo-riemannian Poisson manifold is endowed with an H-structure.