The Ding functional, Berndtsson convexity and moment maps
Differential Geometry
2015-03-18 v1
Abstract
We explain how the formal aspects of the theory of Kahler-Einstein metrics can be developed in the framework of moment maps. The central result we use is the Berndtsson convexity theorem, which is interpreted as defining a metric on the space of complex structures. We discuss some applications of these ideas to the Kahler-Ricci flow.
Cite
@article{arxiv.1503.05173,
title = {The Ding functional, Berndtsson convexity and moment maps},
author = {Simon Donaldson},
journal= {arXiv preprint arXiv:1503.05173},
year = {2015}
}