  The classical Patterson-Walker construction of a split-signature
(pseudo-)Riemannian structure from a given torsion-free affine connection is
generalized to a construction of a split-signature conformal structure from a
given projective class of connections. A characterization of the induced
structures is obtained. We achieve a complete description of Einstein metrics
in the conformal class formed by the Patterson-Walker metric. Finally, we
describe all symmetries of the conformal Patterson-Walker metric. In both cases
we obtain descriptions in terms of geometric data on the original structure.
