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arXiv · 1906.08077

Invariant translators of the Solvable group

Giuseppe Pipoli
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Abstract

We classify the translators to the mean curvature flow in the three-dimensional solvable group $Sol_3$ that are invariant under the action of a one-parameter group of isometries of the ambient space. In particular we show that $Sol_3$ admits graphical translators defined on a half-plane, in contrast with a rigidity result of Shahriyari for translators in the Euclidean space. Moreover we exhibit some non-existence results.

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Giuseppe Pipoli. 2019-06-19. Invariant translators of the Solvable group. https://arxiv.org/abs/1906.08077

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