Lower bounds on the Calabi functional
微分几何
2007-05-23 v1
摘要
The main result of this paper shows that "test configurations" give new lower bounds on the norm of the scalar curvature on a Kahler manifold. This is closely analogous to the analysis of the Yang-Mills functional over Riemann surfaces by Atiyah and Bott. The proof uses asymptotic approximation by finite-dimensional problems: the essential ingredient being the Tian-Zelditch-Lu expansion of the "density of states" function.
引用
@article{arxiv.math/0506501,
title = {Lower bounds on the Calabi functional},
author = {S. K. Donaldson},
journal= {arXiv preprint arXiv:math/0506501},
year = {2007}
}