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We prove the following: Let (M,g,X) be a noncompact four dimensional shrinking soliton with bounded nonnegative curvature operator, then (M,g) is isometric to R^4 or a finite quotient of S^2xR^2 or S^3xR.
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B. Chow and D. Knopf, The Ricci Flow: An Introduction, Mathematical Surverys and Monographs
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