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Hermitian-Einstein metrics on parabolic stable bundles
Li, JY
1999
Source PublicationACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN1000-9574
Volume15Issue:1Pages:93-114
AbstractLet (M) over bar be a compact,complex manifold of complex dimension two with a smooth Kahler metric and D a smooth divisor on (M) over bar. If E is a rank 2 holomorphic vector bundle on (M) over bar with a stable parabolic structure along D, we prove the existence of a metric on E' = E\((M) over bar\D) (compatible with the parabolic structure) which is Hermitian-Einstein with respect to the restriction of the Kahler metric to (M) over bar \ D. A converse is also proved.
KeywordHermitian-Einstein metric parabolic stable bundle Kahler manifold
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000078739900007
PublisherSPRINGER-VERLAG SINGAPORE PTE LTD
Citation statistics
Cited Times:21[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/14265
Collection中国科学院数学与系统科学研究院
Affiliation1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
2.Int Ctr Theoret Phys, Math Sect, I-34100 Trieste, Italy
Recommended Citation
GB/T 7714
Li, JY. Hermitian-Einstein metrics on parabolic stable bundles[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,1999,15(1):93-114.
APA Li, JY.(1999).Hermitian-Einstein metrics on parabolic stable bundles.ACTA MATHEMATICA SINICA-ENGLISH SERIES,15(1),93-114.
MLA Li, JY."Hermitian-Einstein metrics on parabolic stable bundles".ACTA MATHEMATICA SINICA-ENGLISH SERIES 15.1(1999):93-114.
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