Subharmonicity of conic Mabuchi's functional, I
Differential Geometry
2016-03-02 v2
Abstract
The purpose of this paper is to generalize the convexity of Mabuchi's functional to the conic setting. We first established a frame to study conic cscK metrics, and then the conic Mabuchi functional was introduced in such a way that conic cscK metrics are its critical points. Finally we proved the convexity of the conic Mabuchi functional along any conic geodesics.
Cite
@article{arxiv.1511.00178,
title = {Subharmonicity of conic Mabuchi's functional, I},
author = {Long Li},
journal= {arXiv preprint arXiv:1511.00178},
year = {2016}
}
Comments
Some errors and typos are corrected, and one Appendix is added to explain a new regularization technique for weak conic geodesics