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arXiv · 1709.02525

On the geometry of compatible Poisson and Riemannian structures

Nicolás Martínez Alba·Andrés Vargas
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Abstract

We consider compatibility conditions between Poisson and Riemannian structures on smooth manifolds by means of a contravariant partially complex structure, or $f$-structure, introducing the notion of (almost) K\"ahler--Poisson manifolds. In addition, we study some of their properties under structure preserving maps and symmetries.

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Nicolás Martínez Alba, Andrés Vargas. 2017-09-08. On the geometry of compatible Poisson and Riemannian structures. https://arxiv.org/abs/1709.02525

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