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arXiv 2017-09-08 0 views

On the geometry of compatible Poisson and Riemannian structures

Alba, Nicolás Martínez · Vargas, Andrés

Original · EN

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) Kähler--Poisson manifolds. In addition, we study some of their properties under structure preserving maps and symmetries.

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