Ricci curvature and holomorphic convexity in Kähler manifolds
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- by Karen R. Pinney PDF
- Proc. Amer. Math. Soc. 121 (1994), 1211-1216 Request permission
Abstract:
In this paper we show that if a smoothly bounded, relatively compact domain in a complex manifold admits a complete Kähler metric with certain bounds on its Ricci tensor, then the domain must be holomorphically convex. This gives an obstruction for the existence of a complete Kähler-Einstein metric on such domains.References
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Additional Information
- © Copyright 1994 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 121 (1994), 1211-1216
- MSC: Primary 32L07; Secondary 32C17, 53C55
- DOI: https://doi.org/10.1090/S0002-9939-1994-1189751-9
- MathSciNet review: 1189751