AU - Peyghan, E.
AU - Firuzi, F.
AU - Alipour Fakhri, Y.
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