Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Bernstein problem for Lipschitz intrinsic graphs in the Heisenberg
  group   We prove that, in the first Heisenberg group $\mathbb{H}$, an entire locally
Lipschitz intrinsic graph admitting vanishing first variation of its
sub-Riemannian area and non-negative second variation must be an intrinsic
plane, i.e., a coset of a two dimensional subgroup of $\mathbb{H}$. Moreover
two examples are given for stressing result's sharpness.

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The categories of this paper are: eess
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
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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: mtrl-th
10
The categories of this paper are: q-bio
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The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg