Curvature collineations on Lie algebroid structure

Document Type : Research Paper


1 Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran

2 Secondary School "Cornelius Radu", Radinesti Village, 217196 Gorj County, Romania


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.