PreprintarXiv licencearXiv
A Bernstein type theorem for a two dimensional translating soliton in ℝ4 with finite total curvature
Abstract
In this paper, we prove that any two dimensional complete translating soliton in ℝ4 with finite total curvature is a plane. It is in fact a consequence of our main result.
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BibTeX
@misc{han2026bernstein,
title = {{A Bernstein type theorem for a two dimensional translating soliton in $\mathbb R^4$ with finite total curvature}},
author = {Xiaoli Han and Jiayu Li and Jun Sun and Jie Zhou},
howpublished = {arXiv},
year = {2026},
month = aug,
doi = {10.48550/arxiv.2608.30570},
eprint = {2608.30570},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.30570},
}
RIS
TY - UNPB
TI - A Bernstein type theorem for a two dimensional translating soliton in ℝ^4 with finite total curvature
AU - Xiaoli Han
AU - Jiayu Li
AU - Jun Sun
AU - Jie Zhou
PY - 2026
DA - 2026/08/31
PB - arXiv
DO - 10.48550/arxiv.2608.30570
UR - https://arxiv.org/abs/2608.30570
AB - In this paper, we prove that any two dimensional complete translating soliton in ℝ^4 with finite total curvature is a plane. It is in fact a consequence of our main result.
ER -