Complete self-shrinkers with constant norm of the second fundamental form

Abstract

In this paper, we classify $3$-dimensional complete self-shrinkers in Euclidean space ${\mathbb{R}}^4$ with constant squared norm of the second fundamental form $S$ and constant $f_4$.

arXiv commentarXiv admin note: text overlap with arXiv:1807.06760

References in corpus (1)

• A new pinching theorem for complete self-shrinkers and its generalization

Cited by in corpus (1)

• On $n$-dimensional complete self-similar solutions to the mean curvature flow in ${\mathbb{R}}^{n+1}$ with nonnegative constant scalar curvature