TY  - JOUR
TI  - STATISTICAL STRUCTURES AND KILLING VECTOR FIELDS ON TANGENT BUNDLES WITH RESPECT TO TWO DIFFERENT METRICS
AB  - Let $(M,g)$ be a Riemannian manifold and $TM$ be its tangent bundle. The purpose of this paper is to study statistical structures on $TM$ with respect to the metrics $G_{1}=^{c}g+^{v}(fg)$ and $G_{2}=^{s}g_{f}+^{h}g, $ where $f$ is a smooth function on $M,$ $^{c}g$ is the complete lift of $g$, $^{v}(fg)$ is the vertical lift of $fg$, $^{s}g_{f}$ is a metric obtained by rescaling the Sasaki metric by a smooth function $f$ and $^{h}g$ is the horizontal lift of $g.$ Moreover, we give some results about Killing vector fields on $TM$ with respect to these metrics.
AU  - Altunbaş, Murat
DO  - 10.31801/cfsuasmas.1160135
PY  - 2023
JO  - Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics
VL  - 72
IS  - 3
SN  - 1303-5991
SP  - 815
EP  - 825
DB  - TRDizin
UR  - http://search/yayin/detay/1199621
ER  -