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

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.

18 pages. Minor corrections. Final version: to appear on Commun. Contemp. Math

References in corpus (3)

• Stability properties and topology at infinity of f-minimal hypersurfaces
• Uniqueness of the bowl soliton
• On a classification theorem for self-shrinkers

Cited by in corpus (2)

• Bi-Halfspace and Convex Hull Theorems for Translating Solitons
• Conformal solitons for the mean curvature flow in hyperbolic space