  We propose a scheme to generate (3+1)-dimensional slow-light Airy wave
packets in a resonant $\Lambda$-type three-level atomic gas via
electromagnetically induced transparency. We show that in the absence of
dispersion the Airy wave packets formed by a probe field consist of two Airy
wave packets accelerated in transverse directions and a longitudinal Gaussian
pulse with a constant propagating velocity lowered to $10^{-5}\,c$ ($c$ is the
light speed in vacuum). We also show that in the presence of dispersion it is
possible to generate another type of slow-light Airy wave packets consisting of
two Airy beams in transverse directions and an Airy wave packet in the
longitudinal direction. In this case, the longitudinal velocity of the Airy
wave packet can be further reduced during propagation. Additionally, we further
show that the transverse accelerations (or bending) of the both types of
slow-light Airy wave packets can be completely eliminated and the motional
trajectories of them can be actively manipulated and controlled by using a
Stern-Gerlach gradient magnetic field.
