Nijenhuis and Compatible Tensors on Lie and Courant algebroids
Paulo Antunes, Joana M. Nunes da Costa
TL;DR
This paper explores how classical structures on Lie algebroids can be interpreted as Nijenhuis or compatible tensors within Courant algebroids, developing hierarchies and compatibility conditions.
Contribution
It introduces a new perspective by viewing Lie algebroid structures as tensors on Courant algebroids and constructs hierarchies of compatible tensors.
Findings
Lie algebroid structures as Nijenhuis tensors on Courant algebroids
Construction of hierarchies of compatible tensors
Analysis of compatibility conditions between tensors
Abstract
We show that well known structures on Lie algebroids can be viewed as Nijenhuis tensors or pairs of compatible tensors on Courant algebroids. We study compatibility and construct hierarchies of these structures.
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