Non-existence for self-translating solitons

Abstract

This paper establishes geometric obstructions to the existence of complete, properly embedded, mean curvature flow self-translating solitons ${\Sigma }^n\subseteq {\mathbb{R}}^{n+1}$, generalizing previously known non-existence conditions such as cylindrical boundedness.

15 pages

References in corpus (1)

• On the topology of translating solitons of the mean curvature flow