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math.DG2025
Dynamical functionals on ancient ARF Ricci flows
Isaac M. Lopez, Rio Schillmoeller
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 satisfie…
math.DG2024
Ancient and expanding spin ALE Ricci flows
Isaac M. Lopez, Tristan Ozuch
We classify spin ALE ancient Ricci flows and spin ALE expanding solitons with suitable groups at infinity. In particular, the only spin ancient Ricci flows with groups at infinity…