SCALAR CURVATURE ON COMPACT COMPLEX MANIFOLDS
文献类型：期刊论文
| 作者 | Yang, Xiaokui1,2
|
| 刊名 | TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
 |
| 出版日期 | 2019-02-01 |
| 卷号 | 371期号:3页码:2073-2087 |
| ISSN号 | 0002-9947 |
| DOI | 10.1090/tran/7409 |
| 英文摘要 | 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. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000454641300020 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/32117]  |
| 专题 | 数学所 |
| 通讯作者 | Yang, Xiaokui |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, UCAS, HCMS,CEMS,NCNIS,HLM, Beijing 100190, Peoples R China 2.Chinese Acad Sci, Morningside Ctr Math, Acad Math & Syst Sci, 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. |
入库方式： OAI收割
来源：数学与系统科学研究院
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