Existence of closed characteristics on compact convex hypersurfaces in R-2n
Existence of closed characteristics on compact convex hypersurfaces in R-2n
复制标题
R-2n中紧凸超曲面闭特性的存在性
DOI：
10.1007/s00526-015-0945-8
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发表时间：
2016
影响因子：
2.1
通讯作者：
Wang Wei
中科院分区：
文献类型：
--
作者：
Wang Wei
本文证明了在每个紧凸超曲面上至少存在一个几何上不同的闭特征，其中。特别地，这对Hamilton分析中一个长期存在的猜想给出了新的证明。而且，如果闭特征线的个数是有限的，则至少存在个几何上不同的非双曲闭特征线。
In this paper, we prove there exist at leastgeometrically distinct closed characteristics on every compact convex hypersurfacein, where. In particular, this gives a new proof in the caseto a long standing conjecture in Hamiltonian analysis. Moreover, there exist at leastgeometrically distinct non-hyperbolic closed characteristics onprovided the number of geometrically distinct closed characteristics onis finite.