Invariant structures on homogeneous manifolds are of fundamental importance in differential geometry. Recall that an affinor structure F (i.e., a tensor field F of type (1,1)) on a homogeneous manifold G/H is called invariant (with respect to G) if for any g ∈ G we have dτ(g)◦F = F ◦dτ(g), where τ(g)(xH)= (gx)H . An important place among homogeneous manifolds is occupied by homogeneousΦ-spaces ...
