Ricci curvature and holomorphic convexity in Kähler manifolds

Pinney, Karen R.

doi:10.1090/S0002-9939-1994-1189751-9

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.

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