Esmaeil Peyghan
Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran
[ 1 ] - Curvature collineations on Lie algebroid structure
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.
[ 2 ] - Local Symmetry of Unit Tangent Sphere Bundle With g- Natural Almost Contact B-Metric Structure
We consider the unit tangent sphere bundle of Riemannian manifold ( M, g ) with g-natural metric G̃ and we equip it to an almost contact B-metric structure. Considering this structure, we show that there is a direct correlation between the Riemannian curvature tensor of ( M, g ) and local symmetry property of G̃. More precisely, we prove that the flatness of metric g is necessary and sufficien...
نویسندگان همکار