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On Yau's uniformization conjecture - MaRDI portal

On Yau's uniformization conjecture (Q668008)

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On Yau's uniformization conjecture
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    On Yau's uniformization conjecture (English)
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    4 March 2019
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    In this paper the author proves that if \(M^{n}\) is a complete non-compact Kähler manifold with non-negative bisectional curvature and has a maximal volume growth, then \(M\) is biholomorphic to \(\mathbb{C}^{n}\). Moreover, the case when the bisectional curvature has a lower bound is studied.
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    Kähler manifold
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    uniformization conjecture
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