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Francesco Polizzi
Francesco Polizzi
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I would like to find an appropriate reference for the following statement:

Statement. Let $M$ be a compact Riemannian manifold with non-negative Ricci curvature. Then $\pi_1(M)$ is virtually abelian.

It seems to me that the statement should follow from the article of Cheeger and GrmollGromoll "The spleetingspletting theorem for manifolds of non-negative Ricci curvature" http://intlpress.com/JDG/archive/1972/6-1-119.pdf but since it is not stated explicitly in the article I am not 100% sure.

So, what would be a reference?

I would like to find an appropriate reference for the following statement:

Statement. Let $M$ be a compact Riemannian manifold with non-negative Ricci curvature. Then $\pi_1(M)$ is virtually abelian.

It seems to me that the statement should follow from the article of Cheeger and Grmoll "The spleeting theorem for manifolds of non-negative Ricci curvature" http://intlpress.com/JDG/archive/1972/6-1-119.pdf but since it is not stated explicitly in the article I am not 100% sure.

So, what would be a reference?

I would like to find an appropriate reference for the following statement:

Statement. Let $M$ be a compact Riemannian manifold with non-negative Ricci curvature. Then $\pi_1(M)$ is virtually abelian.

It seems to me that the statement should follow from the article of Cheeger and Gromoll "The spletting theorem for manifolds of non-negative Ricci curvature" http://intlpress.com/JDG/archive/1972/6-1-119.pdf but since it is not stated explicitly in the article I am not 100% sure.

So, what would be a reference?

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aglearner
aglearner
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Fundamental groups of compact manifolds with non-negative Ricci curvature.

I would like to find an appropriate reference for the following statement:

Statement. Let $M$ be a compact Riemannian manifold with non-negative Ricci curvature. Then $\pi_1(M)$ is virtually abelian.

It seems to me that the statement should follow from the article of Cheeger and Grmoll "The spleeting theorem for manifolds of non-negative Ricci curvature" http://intlpress.com/JDG/archive/1972/6-1-119.pdf but since it is not stated explicitly in the article I am not 100% sure.

So, what would be a reference?