Curvature collineations on Lie algebroid structure

نویسندگان
Sharahi, Esa ID 1
Arcus, Constantin ID 2
Peyghan, Esmaeil ID 3

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

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

doi
10.22075/ijnaa.2016.516
چکیده

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.

کلیدواژه‌ها
Curvature collineation, Lie algebroid, Lie symmetry, projectable section, spray