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MR1216628 (94a:53071) 53C21 (53C20)
Greene, R. E.; Wu, H. Non-negatively curved manifolds which are flat outside a compact set. Differential geometry: Riemannian geometry (Los Angeles, CA, 1990), 327--335, Proc. Sympos. Pure Math., 54, Part 3, Amer. Math. Soc., Providence, RI, 1993.
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