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

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.

arXiv commentAll comments are welcome. 58 pp, 6 figures