  Single-particle removal reactions are becoming an important tool for studying
radioactive nuclei. The nuclei far from stability may reveal new regions of
large deformation. We discuss the influence of the projectile deformation on
the stripping cross sections and longitudinal momentum distributions of the
core. The Glauber formalism for describing such reactions is developed and
compared with the simpler geometric approach and with existing experimental
data. The most significant effects are expected for nuclei with valence
spherical orbitals strongly mixed by deformation. The shape of the momentum
distribution, in turn, can be used for determining the degree of deformation of
the projectile.
