Mabuchi metrics and properness of the modified ding functional

Yan Li; Bin Zhou

doi:10.2140/pjm.2019.302.659

Mabuchi metrics and properness of the modified ding functional

Yan Li
, Bin Zhou

Peking University

科研成果: 期刊稿件 › 文章 › 同行评审

11 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	659-692
页数	34
期刊	Pacific Journal of Mathematics
卷	302
期	2
DOI	https://doi.org/10.2140/pjm.2019.302.659
出版状态	已出版 - 2019
已对外发布	是

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title = "Mabuchi metrics and properness of the modified ding functional",

abstract = "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.",

keywords = "Ding functional, Fano manifolds, Lie group, Mabuchi metrics",

author = "Yan Li and Bin Zhou",

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AB - 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.

KW - Ding functional

KW - Fano manifolds

KW - Lie group

KW - Mabuchi metrics

UR - https://www.scopus.com/pages/publications/85077067109

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DO - 10.2140/pjm.2019.302.659

M3 - Article

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JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

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Mabuchi metrics and properness of the modified ding functional

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