TY  - JOUR
TI  - Statistical structures on tangent bundles and tangent Lie groups
AB  - Let $TM$ be a tangent bundle over a Riemannian manifold $M$ with a Riemannian metric $g$ and $TG$ be a tangent Lie group over a Lie group with a left-invariant metric $g$. The purpose of the paper is two folds. Firstly, we study statistical structures on the tangent bundle $TM$ equipped with two Riemannian $g$-natural metrics and lift connections. Secondly, we define a left-invariant complete lift connection on the tangent Lie group $TG$ equipped with metric $tilde{g}$ introduced in [F. Asgari and H. R. Salimi Moghaddam, On the Riemannian geometry of tangent Lie groups, Rend. Circ. Mat. Palermo II. Series, 2018] and study statistical structures in this setting.
AU  - Gezer, Aydin
AU  - Peyghan, Esmaeil
AU  - Seifipour, Davood
DO  - 10.15672/hujms.645070
PY  - 2021
JO  - Hacettepe Journal of Mathematics and Statistics
VL  - 50
IS  - 4
SN  - 1303-5010
SP  - 1140
EP  - 1154
DB  - TRDizin
UR  - http://search/yayin/detay/493996
ER  -