Document Type : Research Paper

Authors

• Esa Sharahi ¹
• Esmaeil Peyghan ¹
• Constantin Arcus ²

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

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.

Keywords

• Curvature collineation
• Lie algebroid
• Lie symmetry
• projectable section
• spray