A new formula for the energy functionals E_k and its applications
arXiv:math/0609724
Abstract
We give a new formula for the energy functionals E_k defined by Chen-Tian, and discuss the relations between these functionals. We also apply our formula to give a new proof of the fact that the holomorphic invariants corresponding to the E_k functionals are equal to the Futaki invariant.
14 pages, corrected Theorem 1.3