  We solve the Killing spinor equations of standard and massive IIA
supergravities for a Killing spinor whose isotropy subgroup in Spin(9, 1) is
SU(4) and identify the geometry of the spacetime. We demonstrate that the
Killing spinor equations impose some mild constraints on the geometry of the
spacetime which include the existence of a time-like Killing vector field which
leaves the fields and the Killing spinor invariant.
