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Creators/Authors contains: "Li, Song-Ying"

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  1. ; (, The Journal of Geometric Analysis)
    Abstract In this paper, we provide an elementary and simple proof of the Calabi holomorphic extension theorem, a result which plays an important role in complex analysis and complex geometry. 
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  2. ; ; (, Journal für die reine und angewandte Mathematik (Crelles Journal))
    Abstract The paper studies complex manifolds whose Bergman metrics are incomplete but have constant holomorphic sectional curvature.We will construct a real analytic unbounded domain in C 2 \mathbb{C}^{2}whose Bergman metric is well-defined and has a positive constant holomorphic sectional curvature, which appears to be the first example of this kind.We will answer a long standing folklore conjecture that a Stein manifold has a negative constant holomorphic sectional curvature if and only if it is biholomorphic to a ball with a pluripolar set removed.Together with the uniqueness of a moment problem in the appendix of the paper provided by John Treuer, we will show that, under natural assumptions, there is no complex manifold whose Bergman metric is flat. 
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    Free, publicly-accessible full text available March 22, 2026