Author/Authors :
Sharahi, Esa Department of Mathematics - Faculty of Science - Arak University, Arak , Peyghan, Esmaeil Department of Mathematics - Faculty of Science - Arak University, Arak , Arcus, Constantin M Secondary School "Cornelius Radu" - Radinesti Village - Gorj County, Romania
Abstract :
Considering prolongation of a Lie algebroid equipped with a spray, dening 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
