Ancient pancake solutions to fully nonlinear curvature flows

Sathya Rengaswami; Mat Langford

Ancient pancake solutions to fully nonlinear curvature flows

Differential Geometry 2023-03-17 v1

Authors: Sathya Rengaswami , Mat Langford

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.

Cite

@article{arxiv.2303.09078,
  title  = {Ancient pancake solutions to fully nonlinear curvature flows},
  author = {Sathya Rengaswami and Mat Langford},
  journal= {arXiv preprint arXiv:2303.09078},
  year   = {2023}
}

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