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arXiv · 2111.15499

3-Manifolds with Constant Ricci Eigenvalues $(\lambda, \lambda, 0)$

Thomas G. Brooks
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Abstract

We consider complete Riemannian $3$-manifolds whose Ricci tensors have constant eigenvalues $(\lambda, \lambda, 0)$. When $\pi_1$ is finitely generated, we classify the topology of such manifolds by showing that they have a free fundamental group if non-trivial and that every free group is obtained. We give a description up to isometry, when the metric is locally irreducible or when it is analytic.

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Thomas G. Brooks. 2021-11-30. 3-Manifolds with Constant Ricci Eigenvalues $(\lambda, \lambda, 0)$. https://arxiv.org/abs/2111.15499

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