We study curvature pinching estimates of Ricci flow on complete threedimensional (3-dim) manifolds without bounded curvature assumption.We will derive some general curvature conditions which are preserved on any complete solution of 3-dim Ricci flow, these conditions include nonnegative Ricci curvature and sectional curvature as special cases.A local version of Hamilton-Ivey estimates is also obtained.
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Chen et al. (2013) studied this question.
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