D G ] 1 1 Fe b 20 03 On dimension reduction in the Kähler-Ricci flow

Abstract

We consider dimension reduction for solutions of the Kähler-Ricci flow with nonegative bisectional curvature. When the complex dimension n = 2, we prove an optimal dimension reduction theorem for complete translating KählerRicci solitons with nonnegative bisectional curvature. We also prove a general dimension reduction theorem for complete ancient… (More)

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