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A new formula for the energy functionals Ek and its applications

Haozhao Li

math.DGarXiv:math/0609724

Abstract

We give a new formula for the energy functionals Ek 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 Ek functionals are equal to the Futaki invariant.

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