  We classify supersymmetric solutions of D=5 (3,2) signature supergravity with
either vanishing or imaginary gauge coupling constant preserving the minimal
N=2 supersymmetry. We prove that the geometry of such solutions is
characterized by a nilpotent integrable endomorphism, and obtain the necessary
and sufficient conditions on the fluxes imposed by supersymmetry. We also
construct examples of supersymmetric domain wall solutions for which the
nilpotent integrable endomorphism is associated with a Killing-Yano 2-form, as
well as a new descendant preon solution which preserves N=6 supersymmetry. This
is notable as such N=6 descendant solutions do not exist in the standard
signature D=5 supergravity.
