  Let $c$ be a characteristic form of degree $k$ which is defined on a Kaehler
manifold of real dimension $m>2k$. Taking the inner product with the Kaehler
form $\Omega^k$ gives a scalar invariant which can be considered as a
generalized Lovelock functional. The associated Euler-Lagrange equations are a
generalized Einstein-Gauss-Bonnet gravity theory; this theory restricts to the
canonical formalism if $c=c_2$ is the second Chern form. We extend previous
work studying these equations from the Kaehler to the pseudo-Kaehler setting.
