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Gradient Kähler-Ricci solitons and a uniformization conjecture

Albert Chau·Luen-Fai Tam
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Abstract

In this article we study the limiting behavior of the Kähler Ricci flow on complete non-compact Kähler manifolds. We provide sufficient conditions under which a complete non-compact gradient Kähler-Ricci soliton is biholomorphic to $\ce^n$. We also discuss the uniformization conjecture by Yau \cite{Y} for complete non-compact Kähler manifolds with positive holomorphic bisectional curvature.

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Albert Chau, Luen-Fai Tam. 2003-10-14. Gradient Kähler-Ricci solitons and a uniformization conjecture. https://arxiv.org/abs/math/0310198

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