11 citations · 45 across the 19 of their papers we have counts for
19 papers
Positive hyperbolic periodic orbits for area-preserving maps and Reeb flows
Masayuki Asaoka, Taisuke Shibata
We prove that a strongly nondegenerate Reeb vector field on a closed contact three-manifold has infinitely many simple positive hyperbolic periodic orbits if it has at least three…
Length averages for codimension one foliations
Masayuki Asaoka, Yushi Nakano, Paulo Varandas +1
In this paper we study geometrical and dynamical properties of codimension one foliations, by exploring a relation between length averages and ball averages of certain group action…
There exist no contact Anosov diffeomorphisms
Masayuki Asaoka, Yoshihiko Mitsumatsu
For any Anosov diffeomorphims on a closed odd dimensional manifold, there exists no invariant contact structure.
Area-preserving diffeomorphisms on the disk and positive hyperbolic orbits
Masayuki Asaoka, Taisuke Shibata
In this paper, we prove that if an area-preserving non-degenerate diffeomorphism on the open disk which extend smoothly to the boundary with non-degeneracy has at least 2 interior…
Oriented Birkhoff sections of Anosov flows
Masayuki Asaoka, Christian Bonatti, Théo Marty
This paper gives 3 different proofs (independently obtained by the 3 authors) of the following fact: given an Anosov flow on an oriented 3 manifold, the existence of a positive Bir…
Goodman-Fried surgery, Birkhoff section, and R-covered Anosov flows
Masayuki Asaoka
In this paper, we show that any topologically transitive Anosov flow on a closed three-dimensional manifold with the orientable weak stable and unstable foliations turns into an R-…