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arXiv · 1511.00178

Subharmonicity of conic Mabuchi's functional, I

Long Li
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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.

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Long Li. 2016-03-01. Subharmonicity of conic Mabuchi's functional, I. https://arxiv.org/abs/1511.00178

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