2026-08-31 10:46 UTC · math.DG · math.DG

A Bernstein type theorem for a two dimensional translating soliton in ${\mathbb R}^4$ with finite total curvature

Xiaoli Han, Jiayu Li, Jun Sun, Jie Zhou

In this paper, we prove that any two dimensional complete translating soliton in ${\mathbb R}^4$ with finite total curvature is a plane. It is in fact a consequence of our main result.

arXiv abstract PDF

A Bernstein type theorem for a two dimensional translating soliton in ${\mathbb R}^4$ with finite total curvature

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