Subharmonicity of conic Mabuchi's functional, I release_rev_6840f25d-c683-4c0e-b0fb-005e3c5c174f

by Long Li

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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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Type  article
Stage   submitted
Date   2016-03-01
Version   v2
Language   en ?
arXiv  1511.00178v2
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Revision: 6840f25d-c683-4c0e-b0fb-005e3c5c174f