%0 Journal Article %A Firuzi, F. %A Alipour Fakhri, Y. %A Peyghan, E. %T Local Symmetry of Unit Tangent Sphere Bundle With g- Natural Almost Contact B-Metric Structure %J Iranian Journal of Mathematical Sciences and Informatics %V 14 %N 2 %U http://ijmsi.ir/article-1-1014-en.html %R %D 2019 %K Almost contact structure, B-metrics, g-natural metrics, Local symmetry, Sphere bundle., %X 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 sufficient for the g-natural metric G̃ to be locally symmetric. %> http://ijmsi.ir/article-1-1014-en.pdf %P 93-104 %& 93 %! %9 Research paper %L A-10-294-2 %+ Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran. %G eng %@ 1735-4463 %[ 2019