مشخصات پژوهش

عنوان	Statistical structures on tangent bundles and tangent Lie groups
نوع پژوهش	مقاله چاپ‌شده
کلیدواژه‌ها	metric, statistical structure, tangent bundle, tangent Lie group, lift connection
چکیده	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 eg 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.
پژوهشگران	آیدین گرز (نفر سوم)، داود سیفی پور (نفر دوم)، اسماعیل پیغان (نفر اول)