English

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

Dynamical Systems 2024-12-25 v2 Algebraic Topology Differential Geometry

Abstract

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 0.250.25-pinched manifolds and give perspectives for future work.

Keywords

Cite

@article{arxiv.2204.08728,
  title  = {Towards Brin's conjecture on frame flow ergodicity: new progress and perspectives},
  author = {Mihajlo Cekić and Thibault Lefeuvre and Andrei Moroianu and Uwe Semmelmann},
  journal= {arXiv preprint arXiv:2204.08728},
  year   = {2024}
}

Comments

14 pages, 2 figures

R2 v1 2026-06-24T10:51:49.860Z