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arXiv · 1401.1356

Symmetric periodic orbits and uniruled real Liouville domains

Urs Frauenfelder·Otto van Koert
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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.

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Urs Frauenfelder, Otto van Koert. 2014-01-07. Symmetric periodic orbits and uniruled real Liouville domains. https://arxiv.org/abs/1401.1356

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