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A survey on recent progress of Yau’s uniformization conjecture. (English) Zbl 1434.32038

Ji, Lizhen (ed.) et al., Proceedings of the seventh international congress of Chinese mathematicians, ICCM 2016, Beijing, China, August 2016. Volume II. Somerville, MA: International Press; Beijing: Higher Education Press. Adv. Lect. Math. (ALM) 44, 285-299 (2019).
Summary: Yau’s uniformization conjecture states that a complete noncompact Kähler manifold with positive bisectional curvature is biholomorphic to the complex Euclidean space. We shall survey some recent progress, mainly based on the Gromov-Hausdorff convergence theory.
For the entire collection see [Zbl 1423.00002].

MSC:

32Q15 Kähler manifolds
32-02 Research exposition (monographs, survey articles) pertaining to several complex variables and analytic spaces
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