Cheeger, Jeff; Colding, Tobias H. Almost rigidity of warped products and the structure of spaces with Ricci curvature bounded below. (English. Abridged French version) Zbl 0840.53024 C. R. Acad. Sci., Paris, Sér. I 320, No. 3, 353-357 (1995). Quantitative generalizations of several rigidity theorems for Riemannian manifolds of positive or nonnegative Ricci curvature are announced. Applications are given. Many of these concern the structure of Gromov-Hausdorff limits of spaces whose Ricci curvature has a fixed lower bound. Reviewer: B.Opozda (Kraków) Cited in 10 Documents MSC: 53C20 Global Riemannian geometry, including pinching Keywords:rigidity theorems; Ricci curvature; Gromov-Hausdorff limits PDFBibTeX XMLCite \textit{J. Cheeger} and \textit{T. H. Colding}, C. R. Acad. Sci., Paris, Sér. I 320, No. 3, 353--357 (1995; Zbl 0840.53024)