AU - Firuzi, F. AU - Alipour Fakhri, Y. AU - Peyghan, E. TI - Local Symmetry of Unit Tangent Sphere Bundle With g- Natural Almost Contact B-Metric Structure PT - JOURNAL ARTICLE TA - IJMSI JN - IJMSI VO - 14 VI - 2 IP - 2 4099 - http://ijmsi.ir/article-1-1014-en.html 4100 - http://ijmsi.ir/article-1-1014-en.pdf SO - IJMSI 2 AB  - 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. CP - IRAN IN - Arak University LG - eng PB - IJMSI PG - 93 PT - Research paper YR - 2019