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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Some curvature properties of locally conformal Kähler manifolds


Author: Izu Vaisman
Journal: Trans. Amer. Math. Soc. 259 (1980), 439-447
MSC: Primary 53C55
MathSciNet review: 567089
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Abstract: Curvature identities and holomorphic sectional curvature of locally conformal Kähler manifolds are investigated. Particularly, sufficient conditions for such manifolds to be globally conformal Kähler are derived.


References [Enhancements On Off] (What's this?)

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  • [2] Alfred Gray, Curvature identities for Hermitian and almost Hermitian manifolds, Tôhoku Math. J. (2) 28 (1976), no. 4, 601–612. MR 0436054 (55 #9005)
  • [3] S. Kobayashi and K. Nomizu, Foundations of differential geometry. II, Interscience, New York, 1969.
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  • [7] Izu Vaisman, Remarkable operators and commutation formulas on locally conformal Kähler manifolds, Compositio Math. 40 (1980), no. 3, 287–299. MR 571051 (81j:53063)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1980-0567089-2
PII: S 0002-9947(1980)0567089-2
Article copyright: © Copyright 1980 American Mathematical Society