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SCALAR CURVATURE ON COMPACT COMPLEX MANIFOLDS
Yang, Xiaokui1,2
2019-02-01
Source PublicationTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN0002-9947
Volume371Issue:3Pages:2073-2087
AbstractIn 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.
DOI10.1090/tran/7409
Language英语
Funding ProjectChina's Recruitment Program of Global Experts ; Hua Loo-Keng Center for Mathematical Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000454641300020
PublisherAMER MATHEMATICAL SOC
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/32118
Collection数学所
Affiliation1.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
Recommended Citation
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.
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