Anosov映射的性质

Properties of Anosov Maps

中文关键词:  Anosov映射；伪轨跟踪性质  可扩映射；双曲坐标

英文关键词:Anosov map  pseudo-orbit-tracting property  expansive map  hyperbolic coordinate.

中文摘要:

      设f是紧致度量空间M上的自覆盖映射，本文证明(a)?(c)结合[2](a)?(b)且(a)?(c)

英文摘要:

      Suppose that f be a self-covering map on a compact metric space M. This paper proves that follwing conditions are equivalent: (a) fisa Anosov map, (b) fis expansive and has the pseudo-orbit-tracting property, (c) q_f has hyperbolic coordinates.