Embedded cylindrical and doughnut-shaped $\lambda$-hypersurfaces

Qing-Ming Cheng, Junqi Lai, Guoxin Wei

In the paper, we construct, for $\lambda >0$, complete embedded and non-convex $\lambda$-hypersurfaces, which are diffeomorphic to a cylinder. Hence, one can not expect that $\lambda$-hypersurfaces s…