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arXiv · 2608.30570

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
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Abstract

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.

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Xiaoli Han, Jiayu Li, Jun Sun, Jie Zhou. 2026-08-31. A Bernstein type theorem for a two dimensional translating soliton in ${\mathbb R}^4$ with finite total curvature. https://arxiv.org/abs/2608.30570

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