8 citations · 12 across the 9 of their papers we have counts for
9 papers
On the Absence of Anosov Factors for DA Local Diffeomorphisms
Ruihao Gu, Mingyang Xia
We give a class of local diffeomorphisms which are homotopic to toral hyperbolic endomorphisms, but which are not topologically semi-conjugate, within the homotopic class of the id…
The Teichmüller Space of a 3-Dimensional Anosov Flow
Ruihao Gu, Yi Shi
For a transitive Anosov flow on 3-dimensional closed manifold , we realize its Teichmüller space in the sense of smooth orbit-equivalence classes as a product of two functi…
Stable Lyapunov Spectrum Rigidity of Nilmanifold Endomorphisms
Ruihao Gu, Wenchao Li
Under some non-invertibility and irreducibility condition, for nilmanifold Anosov maps with one-dimensional stable bundle, we get the equivalence among the existence of invariant u…
Semi-conjugacy rigidity for endomorphisms derived from Anosov on the 2-torus
Ruihao Gu, Mingyang Xia
Let be a non-invertible partially hyperbolic endomorphism on $\TT^2$ which is derived from a non-expanding Anosov endomorphism. Differing from the case of diffeomorphisms deriv…
Smooth Stable Foliations of Anosov Diffeomorphisms
Ruihao Gu
In this paper, we focus on the rigidity of -smooth codimension-one stable foliations of Anosov diffeomorphisms. Specifically, we show that if the regularity of these foliat…
Stable ergodicity of skew product endomorphisms on
Ruihao Gu
For a family of skew product endomorphisms on closed surface , where and is a fun…
Topological and smooth classification of Anosov maps on torus
Ruihao Gu, Yi Shi
In this paper, we give a complete topological and smooth classification of non-invertible Anosov maps on torus. We show that two non-invertible Anosov maps on torus are topological…
Rigidity of center Lyapunov exponents for Anosov diffeomorphisms on 3-torus
Daohua Yu, Ruihao Gu
Let f and g be two Anosov diffeomorphisms on T3 with three-subbundles partially hyperbolic splittings where the weak stable subbundles are considered as center subbundles. Assume t…
Rigidity of stable Lyapunov exponents and integrability for Anosov maps
Jinpeng An, Shaobo Gan, Ruihao Gu +1
Let be a non-invertible irreducible Anosov map on -torus. We show that if the stable bundle of is one-dimensional, then has the integrable unstable bundle, if and on…