Simply connected Ricci shrinkers with curvature bound |Rm| <= A and finite second homotopy group satisfy mu(g) >= -C(n,A), so unit balls around basepoints have uniformly bounded below volume.
Bierstone, The equivariant covering homotopy property for di fferentiable G-fibre bundles , J
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Non-collapsing of Ricci shrinkers with bounded curvature
Simply connected Ricci shrinkers with curvature bound |Rm| <= A and finite second homotopy group satisfy mu(g) >= -C(n,A), so unit balls around basepoints have uniformly bounded below volume.