UNIFORM K-STABILITY AND CONFORMALLY KAHLER, EINSTEIN-MAXWELL GEOMETRY ON TORIC MANIFOLDS

doi:10.2748/tmj.20201006

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	UNIFORM K-STABILITY AND CONFORMALLY KAHLER, EINSTEIN-MAXWELL GEOMETRY ON TORIC MANIFOLDS
	Liu, Yaxiong
	2022
发表期刊	TOHOKU MATHEMATICAL JOURNAL
ISSN	0040-8735
卷号	74 期号:1 页码:1-21
摘要	Conformally Kahler, Einstein-Maxwell metrics and f-extremal metrics are generalization of canonical metrics in Kahler geometry. We introduce uniform K-stability for toric Kahler manifolds, and show that uniform K-stability is necessary condition for the existence of f-extremal metrics on toric manifolds. Furthermore, we show that uniform K stability is equivalent to properness of relative K-energy.
关键词	cKEM metric f-extremal metric moment map toric manifold Uniform K-stability
DOI	10.2748/tmj.20201006
收录类别	SCI
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000755027400001
出版者	TOHOKU UNIVERSITY
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/60072
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Yaxiong
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Liu, Yaxiong. UNIFORM K-STABILITY AND CONFORMALLY KAHLER, EINSTEIN-MAXWELL GEOMETRY ON TORIC MANIFOLDS[J]. TOHOKU MATHEMATICAL JOURNAL,2022,74(1):1-21.
APA	Liu, Yaxiong.(2022).UNIFORM K-STABILITY AND CONFORMALLY KAHLER, EINSTEIN-MAXWELL GEOMETRY ON TORIC MANIFOLDS.TOHOKU MATHEMATICAL JOURNAL,74(1),1-21.
MLA	Liu, Yaxiong."UNIFORM K-STABILITY AND CONFORMALLY KAHLER, EINSTEIN-MAXWELL GEOMETRY ON TORIC MANIFOLDS".TOHOKU MATHEMATICAL JOURNAL 74.1(2022):1-21.