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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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