Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some examples of quasiisometries of nilpotent Lie groups   We construct quasiisometries of nilpotent Lie groups. In particular, for any
simply connected nilpotent Lie group N, we construct quasiisometries from N to
itself that is not at finite distance from any map that is a composition of
left translations and automorphisms. We also construct biLipschitz maps of the
Heisenberg groups that send vertical lines to non-vertical curves.

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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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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: econ
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-ph
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The categories of this paper are: q-fin
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The categories of this paper are: atom-ph