Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On univalence of equivariant Riemann domains over the complexification
  of a non-compact, Riemannian symmetric space   Let G/K be a non-compact, rank-one, Riemannian symmetric space and let G^C be
the universal complexification of G. We prove that a holomorphically separable,
G-equivariant Riemann domain over G^C / K^C is necessarily univalent, provided
that G is not a covering of SL(2, R). As a consequence of the above statement
one obtains a univalence result for holomorphically separable, G x K
-equivariant Riemann domains over G^C. Here G x K acts on G^C by left and right
translations. The proof of such results involves a detailed study of the
G-invariant complex geometry of the quotient G^C / K^C, including a complete
classification of all its Stein G-invariant subdomains.

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The categories of this paper are: physics
32
The categories of this paper are: atom-ph
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The categories of this paper are: econ
10
The categories of this paper are: q-bio
13
The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: stat
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The categories of this paper are: ao-sci
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The categories of this paper are: adap-org