Curvature collineations on Lie algebroid structure

Abstract

Considering prolongation of a Lie algebroid equipped with a spray, defining some classical tensors, we show that a Lie symmetry of a spray is a curvature collineation for these tensors.

References in corpus (3)

• Lie algebroids and Poisson-Nijenhuis structures
• Einstein-Cartan Algebroids and Black Holes in Solitonic Backgrounds
• Models of Finsler Geometry on Lie algebroids