Hypersymplectic solutions arise in (2,3) signature supergavity
in the context of solutions preserving 1/2 of the supersymmetry.
We further investigate this supergravity, and show that the
hypersymplectic structures arise as a consequence of the existence
of certain null endomorphisms associated with 1/4 supersymmetric
solutionsm, and which exhibit integrable properties.
We also consider other solutions preserving proportions of
supersymmetry which cannot arise in the standard (1,4) signature
theory