عنوان
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CONFORMAL VECTOR FIELDS ON STATISTICAL MANIFOLDS
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نوع پژوهش
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مقاله چاپشده
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کلیدواژهها
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Conformal vector field, generalized distribution manifold, statistical connection, tangent bundle.
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چکیده
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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.
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پژوهشگران
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اسماعیل پیغان (نفر دوم)، لیلا سامره (نفر اول)
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