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arXiv · 1712.06697

On the constant scalar curvature K\"ahler metrics, apriori estimates

Xiuxiong Chen·Jingrui Cheng
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Abstract

In this paper, we derive apriori estimates for constant scalar curvature K\"ahler metrics on a compact K\"ahler manifold. We show that higher order derivatives can be estimated in terms of a $C^0$ bound for the K\"ahler potential. We also discuss some local versions of these estimates which can be of independent interest.

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Xiuxiong Chen, Jingrui Cheng. 2017-12-18. On the constant scalar curvature K\"ahler metrics, apriori estimates. https://arxiv.org/abs/1712.06697

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