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Compactness Theorems of Extremal-Kähler Manifolds with Positive First Chern Class

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Abstract

In this article, we propose an extension of the compactness property for Kähler–Einstein metrics to extremal-Kähler metrics on compact Kähler manifolds with positive first Chern class and admitting non-zero holomorphic vector fields.

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Chang, SC. Compactness Theorems of Extremal-Kähler Manifolds with Positive First Chern Class. Annals of Global Analysis and Geometry 17, 267–288 (1999). https://doi.org/10.1023/A:1006515112413

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