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Yayın Conformally Fedosov manifolds and geodesic mappings(Maltepe Üniversitesi, 2021) Kanetov, B. E.; Mikes, J.; Askulova, Z.We introduce the notion of a conformally Fedosov structure and geodesic mappings of manifolds with affine connection. It is proved that in the case of geodesic mapping of manifolds with affine connection and when skew-symmetric part of the Ricci tensor is preserved then conformally Fedosov structure is also preserved.