One dimensional solutions of the $\lambda$-self shrinkers

Abstract

In this paper, we study the solution to the 1-dimensional $\lambda$-self shrinkers and show that for certain $\lambda <0$, there are some closed, embedded solutions other than the circle.

15 pages, 24 figures

References in corpus (2)

• Complete $\lambda$-hypersurfaces of weighted volume-preserving mean curvature flow
• Closed self-shrinking surfaces in ${\mathbb{R}}^3$ via the torus

Cited by in corpus (1)

• Complete $\lambda$-hypersurfaces of weighted volume-preserving mean curvature flow