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arXiv · 2511.10460

Dynamical functionals on ancient ARF Ricci flows

Isaac M. Lopez·Rio Schillmoeller
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Abstract

We introduce a dynamical energy functional on compact ancient asymptotically Ricci-flat Ricci flows with modest decay using limits of conjugate heat flows. This functional satisfies a steady Ricci breather-type rigidity and provides an upper bound for the ordinary $\lambda$-functional while retaining many of its properties. In addition, motivated by work of Colding and Minicozzi, we derive local eigenvalue estimates for normalized Ricci flows coupled with conjugate heat flows.

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Isaac M. Lopez, Rio Schillmoeller. 2025-11-13. Dynamical functionals on ancient ARF Ricci flows. https://arxiv.org/abs/2511.10460

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