RC-positivity and rigidity of harmonic maps into Riemannian manifolds

doi:10.1007/s11425-018-9398-7

CSpace

	RC-positivity and rigidity of harmonic maps into Riemannian manifolds
	Wang, Jun 1; Yang, Xiaokui 2,3
	2020-02-01
发表期刊	SCIENCE CHINA-MATHEMATICS
ISSN	1674-7283
卷号	63 期号:2 页码:371-380
摘要	In this paper, we show that every harmonic map from a compact Kahler manifold with uniformly RC-positive curvature to a Riemannian manifold with non-positive complex sectional curvature is constant. In particular, there is no non-constant harmonic map from a compact Kahler manifold with positive holomorphic sectional curvature to a Riemannian manifold with non-positive complex sectional curvature.
关键词	RC-positivity harmonic maps pluri-harmonic maps rigidity
DOI	10.1007/s11425-018-9398-7
收录类别	SCI
语种	英语
资助项目	China's Recruitment Program of Global Experts ; National Natural Science Foundation of China[11688101]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000511922000006
出版者	SCIENCE PRESS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50754
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, Xiaokui
作者单位	1.Tsinghua Univ, Yau Math Sci Ctr, Beijing 100084, Peoples R China 2.Chinese Acad Sci, Morningside Ctr Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Hua Loo Keng Ctr Math Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang, Jun,Yang, Xiaokui. RC-positivity and rigidity of harmonic maps into Riemannian manifolds[J]. SCIENCE CHINA-MATHEMATICS,2020,63(2):371-380.
APA	Wang, Jun,&Yang, Xiaokui.(2020).RC-positivity and rigidity of harmonic maps into Riemannian manifolds.SCIENCE CHINA-MATHEMATICS,63(2),371-380.
MLA	Wang, Jun,et al."RC-positivity and rigidity of harmonic maps into Riemannian manifolds".SCIENCE CHINA-MATHEMATICS 63.2(2020):371-380.