Rigidity and non-existence results for collapsed translators

Publikation: Working paperPreprintForskning


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 $\mathbb{R}^3$ of width $\pi$ and bounded from below. The proof makes use of parabolicity in a weighted setting applied to a suitable universally $L$-superharmonic function defined on translaters in such slabs.
StatusUdgivet - 24 apr. 2023


  • math.DG, math.AP, 53A10, 53E10 (49Q05, 53C42)

ID: 351154531