Contents Online
Cambridge Journal of Mathematics
Volume 7 (2019)
Number 1–2
On Yau’s uniformization conjecture
Pages: 33 – 70
DOI: https://dx.doi.org/10.4310/CJM.2019.v7.n1.a2
Author
Abstract
Let $M^n$ be a complete noncompact Kähler manifold with nonnegative bisectional curvature and maximal volume growth, we prove that $M$ is biholomorphic to $\mathbb{C}^n$. This confirms the uniformization conjecture of Yau when $M$ has maximal volume growth.
Keywords
Kähler manifold, uniformization conjecture
2010 Mathematics Subject Classification
Primary 53C55. Secondary 32H02.
The author was partially supported by NSF grant DMS-1709894 and the Alfred P. Sloan Fellowship.
Received 26 October 2017
Published 26 February 2019