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

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 $0.25$-pinched manifolds and give perspectives for future work.

14 pages, 2 figures

References in corpus (1)

• Smooth mixing Anosov flows in dimension three are exponential mixing

Cited by in corpus (2)

• On the ergodicity of unitary frame flows on Kähler manifolds
• Correspondence between Pestov and Weitzenböck identities