A new formula for the energy functionals E_k and its applications

Details A new formula for the energy functionals E_k and its applications A new formula for the energy functionals E_k and its applications

2006-09-26

arxiv.org/abs/math/0609724v2

Mathematics

Differential Geometry

14 pages, corrected Theorem 1.3

Scientific paper

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.

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