  Oblique Dp-branes in the maximally supersymmetric type IIB plane-wave
background are constructed in terms of boundary states, as well as from the
open string point of view. These Dp-branes, whose existence was anticipated by
Hikida and Yamaguchi from general supersymmetry arguments, have an isometry
that is a subgroup of the diagonal SO(4) symmetry of the background. The
oblique D3-brane is found to preserve four dynamical and four kinematical
supersymmetries while the oblique D5-brane preserves one half of both the
dynamical and kinematical supersymmetries. We also discuss the open-string
boundary conditions for curved D7- and D5-branes, and analyze their
supersymmetry.
