Complete $3$-dimensional $\lambda$-translators in the Minkowski space ${\mathbb{R}}_1^4$

Abstract

In this paper, we obtain the classification theorem for three-dimensional complete space-like $\lambda$-translators $x:M^3\to {\mathbb{R}}_1^4$ with constant norm of the second fundamental form and constant $f_4$ in the Minkowski space ${\mathbb{R}}_1^4$.

add Remark 1.1