Approximation of weak geodesics and subharmonicity of Mabuchi energy
Differential Geometry
2014-09-30 v1 Complex Variables
Abstract
We are analysing the convexity and continuity properties of the Mabuchi functional along weak geodesics. The key technical point in our paper is the global approximation of weak geodesics obtained via a well-chosen family of Monge-Amp\`ere equations.
Keywords
Cite
@article{arxiv.1409.7896,
title = {Approximation of weak geodesics and subharmonicity of Mabuchi energy},
author = {XiuXiong Chen and Long Li and Mihai Paun},
journal= {arXiv preprint arXiv:1409.7896},
year = {2014}
}