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A Liouville type theorem for ancient Lagrangian mean curvature flows

Differential Geometry 2024-07-18 v1 Analysis of PDEs

Abstract

We prove a Liouville type result for convex solutions of the Lagrangian mean curvature flow with restricted quadratic growth assumptions at antiquity on the solutions.

Keywords

Cite

@article{arxiv.2407.12733,
  title  = {A Liouville type theorem for ancient Lagrangian mean curvature flows},
  author = {Arunima Bhattacharya and Micah Warren and Daniel Weser},
  journal= {arXiv preprint arXiv:2407.12733},
  year   = {2024}
}

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13 pages