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Authors' abstract: ``4-quasiplanar mappings of almost quaternionic spaces with affine connection without torsion are investigated. Geometrically motivated definitions of these mappings are presented. Based an these definitions, fundamental forms of these mappings are found, which are equivalent to the forms of 4-quasiplanar mappings introduced a priori by {\it I. Kurbatova} [Sov. Math. 30, 100-104 (1986; Zbl 0602.53029)]''.
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