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- [31] Parametric evolution of periodic orbits in the restricted four-body problem with radiation pressurePLANETARY AND SPACE SCIENCE, 2007, 55 (04) : 475 - 493Kalvouridis, T. J.Arribas, M.Elipe, A.
Symmetric Periodic Orbits and Uniruled Real Liouville Domains
被引：1
|作者：
Frauenfelder, Urs
[1
]
van Koert, Otto
[2
,3
]
机构：
[1] Univ Augsburg, Dept Math, D-86159 Augsburg, Germany
[2] Seoul Natl Univ, Dept Math, Seoul 08826, South Korea
[3] Seoul Natl Univ, Res Inst Math, Seoul 08826, South Korea
基金：
新加坡国家研究基金会;
关键词：
Symmetric periodic orbits;
Real symplectic manifolds;
Real uniruledness;
WEINSTEIN CONJECTURE;
INVARIANCE;
D O I：
10.1007/s11401-016-1012-2
中图分类号：
O1 [数学];
学科分类号：
0701 ;
070101 ;
摘要：
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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页码：607 / 624
页数：18
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