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arXiv · 2303.09078

Ancient pancake solutions to fully nonlinear curvature flows

Sathya Rengaswami·Mat Langford
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Abstract

We construct $O(1)\times O(n)$-invariant ancient ``pancake'' solutions to a large and natural class of fully nonlinear curvature flows. We then establish that these are the unique $O(n)$-invariant ancient solutions to the corresponding flow which sweep out a slab by carrying out a fine asymptotic analysis for this class. This extends the main results of \cite{BLT} to a surprisingly general class of flows.

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Sathya Rengaswami, Mat Langford. 2023-03-16. Ancient pancake solutions to fully nonlinear curvature flows. https://arxiv.org/abs/2303.09078

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