Lie algebroids and Poisson-Nijenhuis structures
Janusz Grabowski, Pawel Urbanski
TL;DR
This paper introduces and explores Poisson-Nijenhuis structures within the context of arbitrary Lie algebroids, utilizing tangent lifts of tensor fields to analyze their properties.
Contribution
It extends the concept of Poisson-Nijenhuis structures to Lie algebroids and develops a framework using tangent lifts of tensor fields.
Findings
Defined Poisson-Nijenhuis structures for Lie algebroids
Developed methods using tangent lifts of tensor fields
Provided foundational results for further research
Abstract
Poisson-NIjenhuis structures for an arbitrary Lie agebroid are defined and studied by means of tangent lifts of tensor fields.
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