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صفحه نخست /CONFORMAL VECTOR FIELDS ON ...
عنوان CONFORMAL VECTOR FIELDS ON STATISTICAL MANIFOLDS
نوع پژوهش مقاله چاپ‌شده
کلیدواژه‌ها Conformal vector field, generalized distribution manifold, statistical connection, tangent bundle.
چکیده Introducing the conformal vector fields on a statistical manifold, we present necessary and sufficient conditions for a vector field on a statistical manifold to be conformal. After presenting some examples, we classify the conformal vector fields on two famous statistical manifolds. Considering three statistical structures on the tangent bundle of a statistical manifold, we study the conditions under which the complete and horizontal lifts of a vector field can be conformal on these structures.
پژوهشگران اسماعیل پیغان (نفر دوم)، لیلا سامره (نفر اول)