On the constant scalar curvature kÄhler metrics (I)—a priori estimates

Xiuxiong Chen; Jingrui Cheng

doi:10.1090/jams/967

On the constant scalar curvature kÄhler metrics (I)—a priori estimates

Mathematics

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Abstract

In this paper, we derive apriori estimates for constant scalar curvature Kähler metrics on a compact Kähler manifold. We show that higher order derivatives can be estimated in terms of a C⁰ bound for the Kähler potential.

Original language	English
Pages (from-to)	909-936
Number of pages	28
Journal	Journal of the American Mathematical Society
Volume	34
Issue number	4
DOIs	https://doi.org/10.1090/jams/967
State	Published - 2021

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title = "On the constant scalar curvature k{\"A}hler metrics (I)—a priori estimates",

abstract = " In this paper, we derive apriori estimates for constant scalar curvature K{\"a}hler metrics on a compact K{\"a}hler manifold. We show that higher order derivatives can be estimated in terms of a C0 bound for the K{\"a}hler potential.",

author = "Xiuxiong Chen and Jingrui Cheng",

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year = "2021",

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AU - Cheng, Jingrui

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AB - In this paper, we derive apriori estimates for constant scalar curvature Kähler metrics on a compact Kähler manifold. We show that higher order derivatives can be estimated in terms of a C0 bound for the Kähler potential.

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DO - 10.1090/jams/967

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JO - Journal of the American Mathematical Society

JF - Journal of the American Mathematical Society

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On the constant scalar curvature kÄhler metrics (I)—a priori estimates

Abstract

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