  We discuss general bosonic configurations of four-dimensional N=2
supergravity coupled to vector multiplets in (t,s) space-time. The supergravity
theories with Euclidean and neutral signature are described by the so-called
para-special K\"ahler geometry. For extremal solutions, we derive in a unified
fashion, using the equations of motion, the flow equations for all space-time
signatures. Demanding that the solutions with neutral and Euclidean signatures
admit unbroken supersymmetry, we derive the constraints, known as the
stabilisation equations, on the para-covariantly holomorphic sections expressed
in terms of the adapted coordinates. The stabilisation equations expressed in
terms of the para-complex sections imply generalised flow equations in terms of
para-complex central charge. For Euclidean and neutral signature, it is
demonstrated that solutions for either signs of gauge kinetic terms are mapped
into each other via field redefinitions.
