24 citations · 107 across the 30 of their papers we have counts for
37 papers
Rigidity from the strong unstable foliation for higher-dimensional Anosov and partially hyperbolic flows
Andrey Gogolev
Recently Burniol Clotet proved that two transitive Anosov flows on 3-manifolds with equivalent strong unstable foliations must be conjugate up to time rescaling. We further explore…
Symplecto-rigidity and bootstrap for Anosov symplectomorphisms and contact Anosov flows
Andrey Gogolev, Federico Rodriguez Hertz
This paper is a sequel to the authors' paper on rigidity of higher dimensional contact Anosov flows~[GRH]. At the time the authors were unaware of much earlier work of Hamenstädt~[…
Smooth rigidity for 3-dimensional dissipative Anosov flows
Andrey Gogolev, Martin Leguil, Federico Rodriguez Hertz
We consider two transitive -dimensional Anosov flows which do not preserve volume and which are continuously conjugate to each other. Then, disregarding certain exceptional case…
Dominated splitting from constant periodic data and global rigidity of Anosov automorphisms
Jonathan DeWitt, Andrey Gogolev
We show that a cocycle over a hyperbolic system with constant periodic data has a dominated splitting whenever the periodic data indicates it should. Th…
Smooth rigidity for 3-dimensional volume preserving Anosov flows and weighted marked length spectrum rigidity
Andrey Gogolev, Federico Rodriguez Hertz
Let and be volume preserving Anosov flows on a 3-dimensional manifold . We prove that if and are conjugate then the conjugacy is, in fact,…
Joint integrability and spectral rigidity for Anosov diffeomorphisms
Andrey Gogolev, Yi Shi
Let be an Anosov diffeomorphism whose linearization is irreducible. Assume that is also absolutely partially h…