2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/125226We 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 1.3Differential GeometryA new formula for the energy functionals E_k and its applicationstext