%0 Journal Article
%A Peyghan, E.
%A Firuzi, F.
%A Alipour Fakhri, Y.
%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
%+ Arak University
%G eng
%@ 1735-4463
%[ 2019