Poisson structures on almost complex Lie algebroids

TL;DR

This paper extends the concept of almost complex Poisson structures from manifolds to Lie algebroids, providing new examples and studying morphisms within this generalized framework.

Contribution

It introduces almost complex Poisson structures on Lie algebroids and explores their morphisms, expanding the theoretical framework of Poisson geometry.

Findings

Examples of almost complex Poisson structures on Lie algebroids

Analysis of almost complex Poisson morphisms

Extension of structures from manifolds to Lie algebroids

Abstract

In this paper we extend the almost complex Poisson structures from almost complex manifolds to almost complex Lie algebroids. Examples of such structures are also given and the almost complex Poisson morphisms of almost complex Lie algebroids are studied.