Differentiability of the slant function of a general pointwise slant distribution

The aim of the present paper is to determine the rank of smoothness of the slant function corresponding to a general pointwise slant distribution (or submanifold) of a Riemannian manifold in the presence of a symmetric or skew-symmetric structural endomorphism that acts isometrically on that distribution. In particular, the obtained results apply to any almost Hermitian, almost product Riemannian, almost contact metric or almost paracontact metric structure.