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arXiv · 2203.05107

Ricci Flow and Gromov Almost Flat Manifolds

Eric Chen·Guofang Wei·Rugang Ye
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Abstract

We employ the Ricci flow to derive a new theorem about Gromov almost flat manifolds, which generalizes and strengthens the celebrated Gromov--Ruh Theorem. In our theorem, the condition $diam^2 |K| \leq \epsilon_n$ in the Gromov--Ruh Theorem is replaced by the substantially weaker condition $\|Rm\|_{n/2}$ $ C_S^2 \leq \varepsilon_n$.

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Eric Chen, Guofang Wei, Rugang Ye. 2022-03-10. Ricci Flow and Gromov Almost Flat Manifolds. https://arxiv.org/abs/2203.05107

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