On Ricci curvature:
Michael T. Anderson, Convergence and rigidity of manifolds under Ricci curvature bounds, Invent. Math. 102 (1990) 429-445 [doi:10.1007/BF01233434, pdf]
Michael T. Anderson, Jeff Cheeger, -compactness for manifolds with Ricci curvature and injectivity radius bounded below J. Diff. Geo. 35 2 (1992) 265-281 [doi:10.4310/jdg/1214448075]
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