Symmetric Periodic Orbits and Uniruled
Real Liouville Domains |
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Authors: | Urs FRAUENFELDER and Otto van KOERT |
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Institution: | 1. Department of Mathematics, University of Augsburg, Augsburg 86159, Germany;2. Department of Mathematics and Research Institute of Mathematics, Seoul National University, Seoul 08826, South Korea |
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Abstract: | A real Liouville domain is a Liouville domain with an exact
anti-symplectic involution. The authors 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, they work out
a criterion which guarantees uniruledness for real Liouville
domains. |
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Keywords: | Symmetric periodic orbits Real symplectic manifolds Real
uniruledness |
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