English

A new formula for the energy functionals E_k and its applications

Differential Geometry 2007-05-23 v2

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.

Cite

@article{arxiv.math/0609724,
  title  = {A new formula for the energy functionals E_k and its applications},
  author = {Haozhao Li},
  journal= {arXiv preprint arXiv:math/0609724},
  year   = {2007}
}

Comments

14 pages, corrected Theorem 1.3