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Mabuchi metrics and
properness of the modified Ding functional
Yan Li and Bin Zhou |
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Vol. 302 (2019), No. 2, 659–692
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Abstract |
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In this paper, we study Mabuchi metrics on Fano manifolds. We prove that Mabuchi metrics exist if and only if the modified Ding functional is proper modulo the automorphism group. As an application, we establish a criterion for the existence of Mabuchi metrics on Fano group compactifications. |
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Keywords
Mabuchi metrics, Ding functional, Fano manifolds, Lie group
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Mathematical Subject Classification 2010
Primary: 53C25
Secondary: 53C55, 35J35
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Milestones
Received: 2 February 2018
Revised: 21 September 2018
Accepted: 1 May 2019
Published: 27 November 2019
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Authors |
| Yan Li | |
| Beijing International Center for
Mathematical Research Peking University Beijing China |
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| Bin Zhou | |
| School of Mathematical
Sciences Peking University Beijing China |
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