On the constant scalar curvature K\"ahler metrics, general automorphism group
Differential Geometry
2018-01-19 v1 Analysis of PDEs
Abstract
In this paper, we derive estimates for scalar curvature type equations with more singular right hand side. As an application, we prove Donaldson's conjecture on the equivalence between geodesic stability and existence of cscK when . Moreover, we also show that when , the properness of -energy with respect to a suitably defined distance implies the existence of cscK.
Keywords
Cite
@article{arxiv.1801.05907,
title = {On the constant scalar curvature K\"ahler metrics, general automorphism group},
author = {Xiuxiong Chen and Jingrui Cheng},
journal= {arXiv preprint arXiv:1801.05907},
year = {2018}
}