Stability of closed characteristics on symmetric compact convex hypersurfaces in $\R^{2n}$
Stability of closed characteristics on symmetric compact convex hypersurfaces in $\R^{2n}$
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$R^{2n}$ 对称紧凸超曲面上闭特性的稳定性
DOI：
10.1016/j.matpur.2012.06.014
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发表时间：
2008
期刊：
影响因子：
--
通讯作者：
Wei Wang
中科院分区：
文献类型：
--
作者：
Wei Wang
设R_（2n）是关于原点对称的紧致凸超曲面。我们证明了如果n有n个几何上不同的闭特征，那么至少n-1个非双曲的;如果n有n个几何上不同的闭特征，那么至少两个椭圆的。
In this article, let Σ⊂R2nbe a compact convex hypersurface which is symmetric with respect to the origin. We prove that if Σ carries finitely many geometrically distinct closed characteristics, then at least n−1 of them must be non-hyperbolic; if Σ carries exactly n geometrically distinct closed characteristics, then at least two of them must be elliptic.