The Gauss image of $\lambda$-hypersurfaces and a Bernstein type problem
  In this paper, our purpose is to study rigidity theorems for $\lambda$-hypersurfaces in Euclidean space under Gauss map. As a Bernstein type problem for $\lambda$-hypersurfaces, we prove that an entirely graphic $\lambda$-hypersurface in Euclidean space is a hyperplane. 
Qing-Ming Cheng and Guoxin Wei
math.DG