Zobrazeno 1 - 10
of 60
pro vyhledávání: '"Barthelmé, Thomas"'
Motivated by problems in the study of Anosov and pseudo-Anosov flows on 3-manifolds, we characterize when a pair $(L^+, L^-)$ of subsets of transverse laminations of the circle can be completed to a pair of transverse foliations of the plane or, sepa
Externí odkaz:
http://arxiv.org/abs/2406.18917
In [Orbit equivalences of pseudo-Anosov flows, arXiv:2211.10505], it was proved that transitive pseudo-Anosov flows on any closed 3-manifold are determined up to orbit equivalence by the set of free homotopy classes represented by periodic orbits, pr
Externí odkaz:
http://arxiv.org/abs/2308.02098
We prove a classification theorem for transitive Anosov and pseudo-Anosov flows on closed 3-manifolds, up to orbit equivalence. In many cases, flows on a 3-manifold $M$ are completely determined by the set of free homotopy classes of their (unoriente
Externí odkaz:
http://arxiv.org/abs/2211.10505
Autor:
Barthelmé, Thomas, Mann, Kathryn
Publikováno v:
Geom. Topol. 28 (2024) 867-899
We prove a rigidity result for group actions on the line whose elements have what we call "hyperbolic-like" dynamics. Using this, we give a spectral rigidity theorem for $\mathbb{R}$-covered Anosov flows on 3-manifolds, characterizing orbit equivalen
Externí odkaz:
http://arxiv.org/abs/2012.11811
We propose a generalization of the concept of discretized Anosov flows that covers a wide class of partially hyperbolic diffeomorphisms in 3-manifolds, and that we call collapsed Anosov flows. They are related with Anosov flows via a self orbit equiv
Externí odkaz:
http://arxiv.org/abs/2008.06547
Publikováno v:
Geom. Topol. 27 (2023) 3095-3181
We study $3$-dimensional partially hyperbolic diffeomorphisms that are homotopic to the identity, focusing on the geometry and dynamics of Burago and Ivanov's center stable and center unstable \emph{branching} foliations. This extends our study of th
Externí odkaz:
http://arxiv.org/abs/2008.04871
We show that if a partially hyperbolic diffeomorphism of a Seifert manifold induces a map in the base which has a pseudo-Anosov component then it cannot be dynamically coherent. This extends work of Bonatti, Gogolev, Hammerlindl and Potrie to the who
Externí odkaz:
http://arxiv.org/abs/2002.10315
Autor:
Barthelmé, Thomas, Gogolev, Andrey
In this note we describe centralizers of volume preserving partially hyperbolic diffeomorphisms which are homotopic to identity on Seifert fibered and hyperbolic 3-manifolds. Our proof follows the strategy of Damjanovic, Wilkinson and Xu (arXiv:1902.
Externí odkaz:
http://arxiv.org/abs/1911.05532
We study 3-dimensional dynamically coherent partially hyperbolic diffeomorphisms that are homotopic to the identity, focusing on the transverse geometry and topology of the center stable and center unstable foliations, and the dynamics within their l
Externí odkaz:
http://arxiv.org/abs/1908.06227
Autor:
Barthelmé, Thomas, Erchenko, Alena
We show the flexibility of the metric entropy and obtain additional restrictions on the topological entropy of geodesic flow on closed surfaces of negative Euler characteristic with smooth non-positively curved Riemannian metrics with fixed total are
Externí odkaz:
http://arxiv.org/abs/1902.02896