We study slant submanifolds of $S$-manifolds with the smallest dimension, specially minimal submanifolds and establish some relations between them and anti-invariant submanifolds in $S$-manifolds, similar to those ones proved by B.-Y. Chen for slant surfaces and totally real surfaces in Kaehler manifolds.
"Minimal Slant Submanifolds of the smallest dimension in $S$-manifolds." Rev. Mat. Iberoamericana 21 (1) 47 - 66, March, 2005.