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arXiv · 2202.08683

Hamilton-Ivey estimates for the Ricci-Bourguignon flow with $\rho<0$

Valter Borges
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Abstract

In this paper, we prove Hamilton-Ivey estimates for the Ricci-Bourguignon flow on a compact manifold, with $n=3$ and $\rho<0$. As a consequence, we prove that compact ancient solutions have nonnegative sectional curvature for all negative $\rho$.

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Valter Borges. 2022-02-17. Hamilton-Ivey estimates for the Ricci-Bourguignon flow with $\rho<0$. https://arxiv.org/abs/2202.08683

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