Complete space-like self-expanders in the Minkowski space
Colloquium Mathematicum
MSC: Primary 53E10; Secondary 53C40
DOI: 10.4064/cm9506-7-2026
Opublikowany online: 10 November 2026
Streszczenie
We study complete space-like self-expanders in the Minkowski space. By using a maximum principle of Omori–Yau type, we obtain rigidity theorems on $n$-dimensional complete space-like self-expanders in the Minkowski space $\mathbb R^{n+1}_{1}$. For dimensions $2$ and $3$, we also classify them under the assumption of constant squared norm of the second fundamental form.
