A remark on a Bernstein type result for $\lambda$-hypersurfaces
Differential Geometry
2019-11-11 v2
Abstract
We proved that any complete hypersurface in the Euclidean space whose Gauss image is contained in an open hemisphere has to be proper. As applications, we derive a counterpart of Hoffman-Osserman-Schoen's result for -hypersurfaces, which gives an affirmative answer to the Bernstein type problem proposed by Cheng-Wei \cite{CW14b}.
Cite
@article{arxiv.1910.11175,
title = {A remark on a Bernstein type result for $\lambda$-hypersurfaces},
author = {Hongbing Qiu and Linlin Sun},
journal= {arXiv preprint arXiv:1910.11175},
year = {2019}
}
Comments
There is an error in the proof of the main theorem