In this note we give a criterion for the positivity of the curvature tensor of a Hermitian Einstein metric in a holomorphic vector bundle. This is a differential geometric version of an algebraic ampleness criterion previously proved by M. Schneider and A. Tancredi.
机构:
Institute of Mathematics, Academy of Mathematics and System Sciences, Academia Sinica
Mathematics Section, International Centre for Theoretic PhysicsInstitute of Mathematics, Academy of Mathematics and System Sciences, Academia Sinica
Jia Yu LI
M. S. NARASIMHAN
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Institute of Mathematics, Fudan UniversityInstitute of Mathematics, Academy of Mathematics and System Sciences, Academia Sinica
机构:
Institute of Mathematics, Acad. of Math. and System Sciences, Academia Sinica
Institute of Mathematics, Fudan UniversityInstitute of Mathematics, Acad. of Math. and System Sciences, Academia Sinica
Li J.Y.
Narasimhan M.S.
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Mathematics Section, Intl. Centre for Theoretic Physics, 34100 TriesteInstitute of Mathematics, Acad. of Math. and System Sciences, Academia Sinica
机构:
Beijing Univ Posts & Telecommun, Sch Sci, Beijing, Peoples R ChinaBeijing Univ Posts & Telecommun, Sch Sci, Beijing, Peoples R China
Li, Zhi
Zhou, Xiangyu
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机构:
Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing, Peoples R China
Chinese Acad Sci, Hua LooKeng Key Lab Math, Beijing, Peoples R ChinaBeijing Univ Posts & Telecommun, Sch Sci, Beijing, Peoples R China