动力系统系列讨论班—Perturbation of three dimensional derived-Anosov diffeomorphisms with volume expanding on center unstable direction
主 题: 动力系统系列讨论班—Perturbation of three dimensional derived-Anosov diffeomorphisms with volume expanding on center unstable direction
报告人: 杨佳刚 (UFF-Brazil)
时 间: 2017-07-06 09:00-11:00
地 点: 理科1号楼1418教室
Abstract: We consider the $C^{1+}$ volume preserving partially hyperbolic diffeomorphisms in the same isotopy class of a linear Anosov diffeomorphism $A$, where the eigenvalues of $A$ satisfy $$k_1 > k_2 > 1 > k_3.$$
We show that if for Lebesgue almost every point of each unstable leaf, the volume along the center-unstable bundle is expanding and larger than $k_1$, then this diffeomorphism admits a $C^1$ neighborhood, such that every $C^{1+}$ diffeomorphism in this neighborhood is transitive, moreover, its stable foliation is minimal.
