Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Submaximally symmetric CR-structures   Hypersurface type CR-structures with non-degenerate Levi form on a manifold
of dimension $(2n+1)$ have maximal symmetry dimension $n^2+4n+3$. We prove that
the next (submaximal) possible dimension for a (local) symmetry algebra is
$n^2+4$ for Levi-indefinite structures and $n^2+3$ for Levi-definite structures
when $n>1$. In the exceptional case of CR-dimension $n=1$, the submaximal
symmetry dimension 3 was computed by E.\,Cartan.

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The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
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The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: stat
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: patt-sol
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The categories of this paper are: q-bio
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The categories of this paper are: q-alg
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The categories of this paper are: supr-con