Towards Brin's conjecture on frame flow ergodicity: new progress and perspectives

Fuente: arXiv
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Hauptverfasser: Cekić, Mihajlo, Lefeuvre, Thibault, Moroianu, Andrei, Semmelmann, Uwe
Format: Preprint
Veröffentlicht: 2022
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author Cekić, Mihajlo
Lefeuvre, Thibault
Moroianu, Andrei
Semmelmann, Uwe
author_facet Cekić, Mihajlo
Lefeuvre, Thibault
Moroianu, Andrei
Semmelmann, Uwe
contents We report on some recent progress achieved in [arXiv:2111.14811] on the ergodicity of the frame flow of negatively-curved Riemannian manifolds. We explain the new ideas leading to ergodicity for nearly $0.25$-pinched manifolds and give perspectives for future work.
format Preprint
id arxiv_https___arxiv_org_abs_2204_08728
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Towards Brin's conjecture on frame flow ergodicity: new progress and perspectives
Cekić, Mihajlo
Lefeuvre, Thibault
Moroianu, Andrei
Semmelmann, Uwe
Dynamical Systems
Algebraic Topology
Differential Geometry
37A05, 37A20, 37A25, 53C10, 53C22
We report on some recent progress achieved in [arXiv:2111.14811] on the ergodicity of the frame flow of negatively-curved Riemannian manifolds. We explain the new ideas leading to ergodicity for nearly $0.25$-pinched manifolds and give perspectives for future work.
title Towards Brin's conjecture on frame flow ergodicity: new progress and perspectives
topic Dynamical Systems
Algebraic Topology
Differential Geometry
37A05, 37A20, 37A25, 53C10, 53C22
url https://arxiv.org/abs/2204.08728