Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Invariant translators of the Heisenberg group   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.

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The categories of this paper are: q-bio
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The categories of this paper are: cs
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The categories of this paper are: chem-ph
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-ex
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The categories of this paper are: adap-org
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The categories of this paper are: gr-qc
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-lat
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga