Levi-Civita Ricci-flat metrics on compact complex manifolds

doi:10.1007/s12220-019-00156-9

CSpace > 数学所

	Levi-Civita Ricci-flat metrics on compact complex manifolds
	He, Jie 1; Liu, Kefeng 2; Yang, Xiaokui3,4
	2020
发表期刊	JOURNAL OF GEOMETRIC ANALYSIS
ISSN	1050-6926
卷号	30 期号:1 页码:646-666
摘要	In this paper, we study the geometry of compact complex manifolds with Levi-Civita Ricci-flat metrics and prove that compact complex surfaces admitting Levi-Civita Ricci-flat metrics are Kahler Calabi-Yau surfaces or Hopf surfaces.
关键词	Levi-Civita connection Ricci flat Classification
DOI	10.1007/s12220-019-00156-9
收录类别	SCI
语种	英语
资助项目	China's Recruitment Program of Global Experts ; NSFC[11688101]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000522387800029
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/51023
专题	数学所
通讯作者	Yang, Xiaokui
作者单位	1.Chinese Acad, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA 3.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China 4.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	He, Jie,Liu, Kefeng,Yang, Xiaokui. Levi-Civita Ricci-flat metrics on compact complex manifolds[J]. JOURNAL OF GEOMETRIC ANALYSIS,2020,30(1):646-666.
APA	He, Jie,Liu, Kefeng,&Yang, Xiaokui.(2020).Levi-Civita Ricci-flat metrics on compact complex manifolds.JOURNAL OF GEOMETRIC ANALYSIS,30(1),646-666.
MLA	He, Jie,et al."Levi-Civita Ricci-flat metrics on compact complex manifolds".JOURNAL OF GEOMETRIC ANALYSIS 30.1(2020):646-666.