Volume of Singular Hyperbolic Sets  

作　　者：Dao Fei ZHANG Yun Tao ZANG 

机构地区：[1]Mathematics Institute,University of Warwick,Coventry,CV47AL,UK [2]School of Mathematical Sciences,East China Normal University,Shanghai 200062,P.R.C

出　　处：《Acta Mathematica Sinica,English Series》2021年第10期1507-1512,共6页数学学报（英文版）

基　　金：support of Shanghai Key Laboratory of Pure Mathematics and Mathematical Practice;the Project funded by China Postdoctoral Science Foundation(Grant No.2020TQ0098)。

摘　　要：Let X be a C^(1+)vector field on a compact Riemannian manifold M with dimension d≥3.LetΛbe a transitive singular hypebolic set with positive volume.We show thatΛ=M andΛis a uniformly hyperbolic set without singularities.

关 键 词：Uniformly hyperbolic singular hyperbolic VOLUME 

分 类 号：O186.12[理学—数学]