THE C-1 DENSITY OF NONUNIFORM HYPERBOLICITY IN C-r CONSERVATIVE DIFFEOMORPHISMS
THE C-1 DENSITY OF NONUNIFORM HYPERBOLICITY IN C-r CONSERVATIVE DIFFEOMORPHISMS
复制标题
C-r保守微分态中非均匀双曲的C-1密度
DOI：
10.1090/proc/13527
复制
发表时间：
2017
影响因子：
1
通讯作者：
Yang Yun
中科院分区：
文献类型：
--
作者：
Liang Chao;Yang Yun
设为紧致黎曼流形上的保体积同态集（）。本文证明了正体积集上的李雅普诺夫指数不为零的同构在中是稠密的。我们还证明了辛同态的一个较弱的结果，即辛同态是部分双曲的或任意接近于in的，在正体积集上存在一个李雅普诺夫指数不为零的辛同态。引用
Letbe the set ofvolume-preserving diffeomorphisms on a compact Riemannian manifold(). In this paper, we prove that the diffeomorphisms without zero Lyapunov exponents on a set of positive volume aredense in. We also prove a weaker result for symplectic diffeomorphismssaying that either the symplectic diffeomorphismis partially hyperbolic orarbitrarily close toin, there is a diffeomorphismwithout zero Lyapunov exponents on a set with positive volume. References