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RC-positivity and rigidity of harmonic maps into Riemannian manifolds
Wang, Jun1; Yang, Xiaokui2,3
2020-02-01
Source PublicationSCIENCE CHINA-MATHEMATICS
ISSN1674-7283
Volume63Issue:2Pages:371-380
AbstractIn 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.
KeywordRC-positivity harmonic maps pluri-harmonic maps rigidity
DOI10.1007/s11425-018-9398-7
Indexed BySCI
Language英语
Funding ProjectChina's Recruitment Program of Global Experts ; National Natural Science Foundation of China[11688101]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000511922000006
PublisherSCIENCE PRESS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/50754
Collection中国科学院数学与系统科学研究院
Corresponding AuthorYang, Xiaokui
Affiliation1.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
Recommended Citation
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.
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