@ARTICLE{Peyghan, author = {Firuzi, F. and Alipour Fakhri, Y. and Peyghan, E. and }, title = {Local Symmetry of Unit Tangent Sphere Bundle With g- Natural Almost Contact B-Metric Structure}, volume = {14}, number = {2}, abstract ={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. }, URL = {http://ijmsi.ir/article-1-1014-en.html}, eprint = {http://ijmsi.ir/article-1-1014-en.pdf}, journal = {Iranian Journal of Mathematical Sciences and Informatics}, doi = {}, year = {2019} }