Abelian Livšic theorems for Anosov flows
Abstract We give two short proofs of the abelian Livšic theorem of Gogolev and Rodriguez Hertz. We show that these proofs may be extended to give new abelian Livšic theorems for positive density sets of null‐homologous orbits and for amenable covers.
Authors
- Richard Sharp (ORCID: https://orcid.org/0000-0002-8304-4708)
Institutions
- University of Warwick (GB)
Publication Details
- Journal
- Bulletin of the London Mathematical Society
- Published
- 2025-12-19
- DOI
- https://doi.org/10.1112/blms.70258
- Primary Topic
- Mathematical Dynamics and Fractals
- Type
- article
- Field-Weighted Citation Impact
- 0.00