Canonical $F$-planar Mappings of Spaces with Affine Connection onto $3$-symmetric Spaces

Patrik Peška, Vladimir Berezovski, Yevhen Cherevko, Miloš Z. Petrović

Abstract


We consider canonical $F$-planar mappings of spaces with affine connection onto $3$-symmetric spaces. The  main equations for the mappings have been obtained as a closed system of PDEs of Cauchy type in covariant derivatives. We have found the maximum numbers of essential parameters which the general solution of the system depends~on.

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