A new formula for the energy functionals E_k and its applications

2006/09/26 by Haozhao Li, Li, Haozhao
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #math.DG

paper · pdf · doi:10.48550/arxiv.math/0609724

14 pages, corrected Theorem 1.3

arxiv created 2007/03/08 · arxiv updated 2009/12/01

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.

Related

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• The Futaki invariant and the Mabuchi energy of a complete intersection
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• Energy functionals and Kähler-Ricci solitons
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