Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Abnormal extremals of left-invariant sub-Finsler quasimetrics on
  four-dimensional Lie groups with three-dimensional generating distributions   We find three-dimensional subspaces of four-dimensional connected Lie
algebras, generating these algebras, and abnormal extremals on connected Lie
groups with these Lie algebras and with left-invariant sub-Finsler quasimetrics
defined by seminorms on such subspaces. In terms of the structure constants of
Lie algebras and dual seminorms, we establish a criterion for the strong
abnormality of these extremals.

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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: acc-phys
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The categories of this paper are: quant-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: gr-qc
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The categories of this paper are: q-bio
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas