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math.DG2023
Poincaré inequality and topological rigidity of translators and self-expanders for the mean curvature flow
Debora Impera, Michele Rimoldi
We prove an abstract structure theorem for weighted manifolds supporting a weighted -Poincaré inequality and whose ends satisfy a suitable non-integrability condition. We then s…
math.DG2023
Rigidity and non-existence results for collapsed translators
Debora Impera, Niels Martin Møller, Michele Rimoldi
We prove a rigidity result for mean curvature self-translating solitons, characterizing the grim reaper cylinder as the only finite entropy self-translating 2-surface in $\mathbb{R…