  In this paper we will perturb the scalar curvature of compact Kahler
manifolds by incorporating it with higher Chern forms, and then show that the
perturbed scalar curvature has many common properties with the unperturbed
scalar curvature. In particular the perturbed scalar curvature becomes a moment
map, with respect to a perturbed symplectic structure, on the space of all
complex structures on a fixed symplectic manifold, which extends the results of
Donaldson and Fujiki on the unperturbed case.
