Higher K-energy functionals and higher Futaki invariants
Differential Geometry
2007-05-23 v2
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.
Cite
@article{arxiv.math/0204271,
title = {Higher K-energy functionals and higher Futaki invariants},
author = {Ben Weinkove},
journal= {arXiv preprint arXiv:math/0204271},
year = {2007}
}
Comments
14 pages, Latex; references added, Theorem 2 corrected