Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: M\"obius invariants for pairs of spheres   In this article we construct a complete system of M\"obius-geometric
invariants for pairs $(S^m, S^l), l \leq m$, of spheres contained in the
M\"obius space $S^n$. It consists of n-m generalised stationary angles. We
interpret these invariants geometrically.

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The categories of this paper are: acc-phys
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: physics
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: patt-sol
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The categories of this paper are: funct-an
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The categories of this paper are: mtrl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn