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MR840284 58D17 (53C20 58E11 58G11)
Nishikawa, Seiki Deformation of Riemannian metrics and manifolds with bounded curvature ratios. Geometric measure theory and the calculus of variations (Arcata, Calif., 1984), 343–352, Proc. Sympos. Pure Math., 44, Amer. Math. Soc., Providence, RI, 1986.
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