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Ricci flow on compact K\"ahler manifolds of positive bisectional curvature
We announce a new proof of the uniform estimate on the curvature of solutions
to the Ricci flow on a compact K\"ahler manifold with positive
bisectional curvature. In contrast to the recent work of X. Chen and G. Tian,
our proof of the uniform estimate does not rely on the exsitence of
K\"ahler-Einstein metrics on , but instead on the first author's Harnack
inequality for the K\"ahler-Ricc flow, and a very recent local injectivity
radius estimate of Perelman for the Ricci flow.Comment: 4 page
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