Supplement to "Pseudoconvex Domains on a Kähler Manifold with Positive Holomorphic Bisectional Curvature"
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In O. Suzuki [3], the author proved that if M has a real analytic kahler metric with positive holomorphic bisectional curvature, then every relatively compact pseudoconvex domain in M is holomorphically convex. After the completion of O. Suzuki [3], the paper of G. Elencwajg [1] appeared. There he proved the same result as in O. Suzuki [3] in the case of kahler metrics of C°°-class. Therefore we see that both results
[1] O. Suzuki. Pseudoconvex Domains on a Kähler Manifold with Positive Holomorphic Bisectional Curvature , 1976 .
[2] H. Grauert. Über Modifikationen und exzeptionelle analytische Mengen , 1962 .
[3] G. Elencwajg. Pseudo-convexité locale dans les variétés kahlériennes , 1975 .
[4] A. Takeuchi. Domaines pseudoconvexes sur les variétés kählériennes , 1967 .