A New Formula for the Energy Functionals E(k) and its Applications

作者:Li Haozhao*
来源:International Mathematics Research Notices, 2007, rnm033.
DOI:10.1093/imrn/rnm033

摘要

We give a new formula for the energy functionals E(k) defined by Chen-Tian [5], 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.

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