Rigidity of Ricci-Pinched Complete Self-Shrinkers in Arbitrary Codimension

Juan Li, Zhiyuan Xu

Let $M$ be an $n$-dimensional complete connected self-shrinker in ${\mathbb{R}}^{n+p}$. Denote by $\mathrm{Ric}$ and $\mathbf{H}$ the Ricci curvature tensor and the mean curvat…