A rigidity result for $ 2 $-dimensional $ \lambda $-translators

Abstract

<abstract><p>In this paper, we will develop a different technique to study the rigidity of complete $ \lambda $-translators $ x:M^{2} \rightarrow \mathbb R^{3} $ with the non-zero constant gauss curvature in the Euclidean space $ \mathbb R^{3} $.</p></abstract>