Preservation of product structures under the Ricci flow with instantaneous curvature bounds

Mary Cook

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arXiv · 2202.04740

Preservation of product structures under the Ricci flow with instantaneous curvature bounds

Mary Cook

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Abstract

In this note, we prove that there exists a constant $\epsilon >0$, depending only on the dimension, such that if a complete solution to the Ricci flow splits as a product at time $t=0$ and has curvature bounded by $\frac{\epsilon}{t}$, then the solution splits for all time.

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Mary Cook. 2022-02-09. Preservation of product structures under the Ricci flow with instantaneous curvature bounds. https://arxiv.org/abs/2202.04740

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