Symmetric periodic orbits and uniruled real Liouville domains

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

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