Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Symmetric periodic orbits and uniruled real Liouville domains   A real Liouville domain is a Liouville domain together with an exact
anti-symplectic involution. We call a real Liouville domain uniruled if there
exists an invariant finite energy plane through every real point.
Asymptotically an invariant finite energy plane converges to a symmetric
periodic orbit. In this note we work out a criterion which guarantees
uniruledness for real Liouville domains.

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The categories of this paper are: nucl-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: econ
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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-th
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The categories of this paper are: funct-an
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The categories of this paper are: solv-int