RT - Journal Article
T1 - Local Symmetry of Unit Tangent Sphere Bundle With g- Natural Almost Contact B-Metric Structure
JF - IJMSI
YR - 2019
JO - IJMSI
VO - 14
IS - 2
UR - http://ijmsi.ir/article-1-1014-en.html
SP - 93
EP - 104
K1 - Almost contact structure
K1 - B-metrics
K1 - g-natural metrics
K1 - Local symmetry
K1 - Sphere bundle.
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.
LA eng
UL http://ijmsi.ir/article-1-1014-en.html
M3
ER -