Complete $$\lambda $$-surfaces in $${\mathbb {R}}^3$$

Complete $\lambda $-hypersurfaces with constant squared norm of the second fundamental form in the Euclidean space $\mathbb R^{4}$

“…Guang [Gua] proved some gap theorems and Bernstein type theorems for complete λ-hypersurfaces with polynomial volume growth in terms of the norm of the second fundamental form. Up to now, there have been a lot of interesting rigidity results for complete λ-hypersurfaces under pointwise pinching conditions or global pinching conditions [COW,CW2,CW3,LXX,Ros,WXZ,WP,XLX,ZFC].…”