Nijenhuis and Compatible Tensors on Lie and Courant algebroids

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.

References in corpus (5)

• Poisson Quasi-Nijenhuis Manifolds
• Generalized Kahler and hyper-Kahler quotients
• Poisson quasi-Nijenhuis structures with background
• Hypercomplex structures on Courant algebroids
• On Poisson quasi-Nijenhuis Lie algebroids

Cited by in corpus (3)

• Split Courant algebroids as $L_{\infty }$-structures
• Courant-Nijenhuis algebroids
• Stability of fixed points in Poisson geometry and higher Lie theory