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| Symmetric Periodic Orbits and UniruledReal Liouville Domains |
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Citation： |
Urs FRAUENFELDER,Otto van KOERT.Symmetric Periodic Orbits and UniruledReal Liouville Domains[J].Chinese Annals of Mathematics B,2016,37(4):607~624 |
| Page view： 2714
Net amount： 1387 |
Authors： |
Urs FRAUENFELDER; Otto van KOERT |
Foundation： |
This work was supported by National Research Foundation
of Korea (No.2012-011755) and a stipend from the Humboldt
foundation. |
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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. |
Keywords： |
Symmetric periodic orbits, Real symplectic manifolds, Real
uniruledness |
Classification： |
34C25, 32Q65, 53D05, 53D10 |
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