Annuloids and $\Delta$-wings
Annuloids and $\Delta$-wings
In this paper, 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 $\Delta$-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.
Comment: Final version. To appear in Advanced Nonlinear Studies
- Stanford University United States
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), Mathematics - Differential Geometry, mean curvature flow, translating solitons, Primary 53C44, 53C21, 53C42, Flows related to mean curvature, Methods of global Riemannian geometry, including PDE methods; curvature restrictions
Differential geometry of immersions (minimal, prescribed curvature, tight, etc.), Mathematics - Differential Geometry, mean curvature flow, translating solitons, Primary 53C44, 53C21, 53C42, Flows related to mean curvature, Methods of global Riemannian geometry, including PDE methods; curvature restrictions
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