ScalingStacks

Lemma 3.2 . [00F6]

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Lemma 3.2.

Let (M2​n,g)(M^{2n},g) be a closed Riemannian manifold with Ric⁡(g)≥0\mathrm{Ric}(g)\geq 0, let p∈Mp\in M and 1<R<diam⁡(g)1<R<\mathrm{diam}(g). Then

R−14​n≤Vol​(B​(p,2​(R+1)))Vol⁡(B⁡(p,1)).\frac{R-1}{4n}\leq\frac{\mathrm{Vol}(B(p,2(R+1)))}{\mathrm{Vol}(B(p,1))}.

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