Rigidity results and topology at infinity of translating solitons of the mean curvature flow

TL;DR

This paper investigates the geometric and topological properties of translating solitons in mean curvature flow, establishing rigidity results and topological obstructions using f-minimal hypersurface theory.

Contribution

It introduces new rigidity theorems and topological obstructions for translating solitons, advancing understanding of their structure in Euclidean space.

Findings

Rigidity results for translating solitons

Obstructions to certain topologies at infinity

Application of f-minimal hypersurface theory

Abstract

In this paper we obtain rigidity results and obstructions on the topology at infinity of translating solitons of the mean curvature flow in the Euclidean space. Our approach relies on the theory of f-minimal hypersurfaces.