Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Connections in sub-Riemannian geometry of parallelizable distributions   The notion of a parallelizable distribution has been introduced and
investigated. A non-integrable parallelizable distribution carries a natural
sub-Riemannian structure. The geometry of this structure has been studied from
the bi-viewpoint of absolute parallelism geometry and sub-Riemannian geometry.
Two remarkable linear connections have been constructed on a sub-Riemannian
parallelizable distribution, namely, the Weitzenb\"ock connection and the
sub-Riemannian connection. The obtained results have been applied to two
concrete examples: the spheres $S^3$ and $S^7$.

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The categories of this paper are: hep-ph
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The categories of this paper are: q-bio
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The categories of this paper are: math-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: supr-con
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The categories of this paper are: mtrl-th
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: adap-org
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The categories of this paper are: stat