مشخصات پژوهش

عنوان	Statistical structures on the tangent bundle of a statistical manifold with Sasaki metric
نوع پژوهش	مقاله چاپ‌شده
کلیدواژه‌ها	Holomorphic statistical manifold, statistical structure, Kähler tructure, Sasaki metric
چکیده	The first part of the paper is devoted to the classification of the statistical structures which live on the tangent bundle of a statistical manifold endowed with a Sasaki metric. Further, considering a Kähler structure on the base statistical manifold, we introduce a family of almost complex structures on the tangent bundle equipped with the Sasaki metric, and find equivalent conditions for which this family induces a Kähler structure. Finally, we derive equivalent conditions for existence of holomorphic structures on the tangent bundle equipped with the Sasaki metric in the presence of a statistical structure. Several illustrative examples are provided, as well.
پژوهشگران	والدینیر بالان (نفر اول)، عیسی شراهی (نفر سوم)، اسماعیل پیغان (نفر دوم)