A New Proof of the Takeuchi Theorem


In this paper, we present a short proof of the following theorem due to Takeuchi. Theorem A. (Takeuchi [Ta], [Su]) Let Ω be a pseudoconvex domain with C 2-smooth boundary in a Kähler manifold M 2n and r = d(x, bΩ). Suppose that the Kähler manifold M 2n has holomorphic bisectional curvature ≥ 1. Then the second fundamental form of bΩ (−t) satisfies: i… (More)


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