  The main purpose of the present paper is to define and study the notion of
quasi bi-slant submanifolds of almost contact metric manifolds. We mainly
concerned with quasi bi-slant submanifolds of cosymplectic manifolds as a
generalization of slant, semi-slant, hemi-slant, bi-slant and quasi hemi-slant
submanifolds. First, we give non-trivial examples in order to demostrate the
method presented in this paper is effective and investigate the geometry of
distributions. Moreover, We study these types of submanifolds with parallel
canonical structures.
