A note on the uniformization of gradient Kähler-Ricci solitons
Chau, Albert · Tam, Luen-Fai
Original · EN
Applying a well known result for attracting fixed points of biholomorphisms RR, V, we observe that one immediately obtains the following result: if (Mⁿ,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 ⁿ.
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