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Almost rigidity of warped products and the structure of spaces with Ricci curvature bounded below. (English. Abridged French version) Zbl 0840.53024

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)

MSC:

53C20 Global Riemannian geometry, including pinching
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