摘要

Cao's splitting theorem says that for any complete Kahler-Ricci flow (M, g(t)) with t is an element of [0, T), M simply connected and nonnegative bounded holomorphic bisectional curvature, (M, g(t)) is holomorphically isometric to C-k x (N, h(t)), where (N, h(t)) is a Kahler-Ricci flow with positive Ricci curvature for t > 0. In this article, we show that k = n - r, where r is the Ricci rank of the initial metric. As a corollary, we also confirm a splitting conjecture of Wu and Zheng when curvature is assumed to be bounded.