  The present paper deals with the study of Chaki-pseudo parallel and
Deszcz-pseudo parallel invariant submanifolds of SQ-Sasakian manifolds with
respect to Levi-Civita connection and semisymmetric metric connection and
obtain that these two classes are equivalent with a certain condition. Also the
invariant and anti-invariant submanifolds of SQ-Sasakian manifolds with respect
to Levi-Civita connection as well as semisymmetric metric connection whose
metrics are Ricci solitons are studied.
