A note on the uniformization of gradient Kähler Ricci solitons (Q1774272)

The authors prove the following theorem. If \((M^n,g)\) is a complete non-compact gradient Kähler-Ricci soliton which is either steady with positive Ricci curvature so that the scalar curvature attains its maximum at some point, or expanding with non-negative Ricci curvature, then \(M\) is biholomorphic to \(\mathbb C^n\).