Higher K-energy functionals and higher Futaki invariants
arXiv:math/0204271
Abstract
This note discusses the higher K-energy functionals which were defined by Bando and Mabuchi, and integrate higher Futaki invariants. Two new formulas for the higher K-energy functionals are given, and the second K-energy is shown to be related to Donaldson's Lagrangian applied to metrics on the tangent bundle.
14 pages, Latex; references added, Theorem 2 corrected