Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Conformal actions of real-rank 1 simple Lie groups on pseudo-Riemannian
  manifolds   Given a simple Lie group G of rank 1, we consider compact pseudo-Riemannian
manifolds (M,g) of signature (p,q) on which G can act conformally. Precisely,
we determine the smallest possible value for the index min(p,q) of the metric.
When the index is optimal and G non-exceptional, we prove that the metric must
be conformally flat, confirming the idea that in a "good" dynamical context, a
geometry is determined by its automorphisms group. This completes anterior
investigations on pseudo-Riemannian conformal actions of semi-simple Lie groups
of maximal real-rank. Combined with these results, we obtain as corollary the
list of semi-simple Lie groups without compact factor that can act on compact
Lorentzian manifolds. We also derive consequences in CR geometry via the
Fefferman fibration.

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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
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The categories of this paper are: q-bio
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The categories of this paper are: atom-ph
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The categories of this paper are: adap-org
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The categories of this paper are: mtrl-th
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The categories of this paper are: quant-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas