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- W2899681748 abstract "We classify all the translating solitons to the mean curvature flow in the three-dimensional Heisenberg group that are invariant under the action of some one-parameter group of isometries of the ambient manifold. The problem is solved considering any canonical deformation of the standard Riemannian metric of the Heisenberg group. We highlight similarities and differences with the analogous Euclidean translators: we mention in particular that we describe the analogous of the tilted grim reaper cylinders, of the bowl solution and of translating catenoids, but some of them are not convex in contrast with a recent result of Spruck and Xiao in the Euclidean space. Moreover we also prove some negative results. Finally we study the convergence of these surfaces as the ambient metric converges to the standard sub-Riemannian metric on the Heisenberg group." @default.
- W2899681748 created "2018-11-16" @default.
- W2899681748 creator A5084793903 @default.
- W2899681748 date "2018-11-12" @default.
- W2899681748 modified "2023-09-27" @default.
- W2899681748 title "Invariant translators of the Heisenberg group" @default.
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