Marked length pattern rigidity for arithmetic manifolds
Abstract In this paper, we prove a cocycle version of marked length spectrum rigidity. There are two consequences: the first one is marked length pattern rigidity for arithmetic hyperbolic locally symmetric manifolds, and the second one is a strengthened marked length spectrum rigidity for surfaces and closed locally symmetric manifolds.
Authors
- Yanlong Hao (ORCID: https://orcid.org/0000-0003-4604-8993)
Institutions
- University of Michigan (US)
Publication Details
- Journal
- Ergodic Theory and Dynamical Systems
- Published
- 2024-09-30
- DOI
- https://doi.org/10.1017/etds.2024.72
- Citations
- 1
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 1.01