Annuloids and Δ-wings

Abstract

We describe new annular examples of complete translating solitons for the mean curvature flow and how they are related to a family of translating graphs, the Δ-wings. In addition, we will prove several related results that answer questions that arise naturally in this investigation. These results apply to translators in general, not just to graphs or annuli.

Keywords

• mean curvature flow
• minimal foliations
• translating solitons
• area estimates
• comparison principle
• primary 53e10
• 53c21
• 53c42