Symmetric periodic orbits and uniruled real Liouville domains

Abstract

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.

Corrected the definition of real uniruled Liouville domain

References in corpus (2)

• 13/2 ways of counting curves
• On the symplectic invariance of log Kodaira dimension