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arXiv · 1911.04980

Compatibility of a Jacobi structure and a Riemannian structure on a Lie algebroid

Yacine Aït Amrane·Ahmed Zeglaoui
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Abstract

In a preceding paper we introduced a notion of compatibility between a Jacobi structure and a Riemannian structure on a smooth manifold. We proved that in the case of fundamental examples of Jacobi structures : Poisson structures, contact structures and locally conformally symplectic structures, we get respectively Riemann-Poisson structures in the sense of M. Boucetta, (1/2)-Kenmotsu structures and locally conformally Kähler structures. In this paper we are generalizing this work to the framework of Lie algebroids.

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Yacine Aït Amrane, Ahmed Zeglaoui. 2019-11-09. Compatibility of a Jacobi structure and a Riemannian structure on a Lie algebroid. https://arxiv.org/abs/1911.04980

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