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