SCALAR CURVATURE ON COMPACT COMPLEX MANIFOLDS

doi:10.1090/tran/7409

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	SCALAR CURVATURE ON COMPACT COMPLEX MANIFOLDS
	Yang, Xiaokui1,2
	2019-02-01
发表期刊	TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN	0002-9947
卷号	371 期号:3 页码:2073-2087
摘要	In this paper, we prove that, a compact complex manifold X admits a smooth Hermitian metric with positive (resp., negative) scalar curvature if and only if K-X (resp., K-X(-1)) is not pseudo-effective. On the contrary, we also show that on an arbitrary compact complex manifold X with complex dimension >= 2, there exist smooth Hermitian metrics with positive total scalar curvature, and one of the key ingredients in the proof relies on a recent solution to the Gauduchon conjecture by G. Szekelyhidi, V. Tosatti, and B. Weinkove.
DOI	10.1090/tran/7409
语种	英语
资助项目	China's Recruitment Program of Global Experts ; Hua Loo-Keng Center for Mathematical Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000454641300020
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/32118
专题	数学所
通讯作者	Yang, Xiaokui
作者单位	1.Chinese Acad Sci, Morningside Ctr Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, UCAS, HCMS,CEMS,NCNIS,HLM, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Yang, Xiaokui. SCALAR CURVATURE ON COMPACT COMPLEX MANIFOLDS[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,2019,371(3):2073-2087.
APA	Yang, Xiaokui.(2019).SCALAR CURVATURE ON COMPACT COMPLEX MANIFOLDS.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY,371(3),2073-2087.
MLA	Yang, Xiaokui."SCALAR CURVATURE ON COMPACT COMPLEX MANIFOLDS".TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 371.3(2019):2073-2087.