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Marked length pattern rigidity for arithmetic manifolds

Dynamical Systems 2025-08-19 v2

Abstract

In this paper, we prove a cocycle version of marked length spectrum rigidity. There are two consequences. The first is marked length pattern rigidity for arithmetic hyperbolic locally symmetric manifolds. The second is strengthen marked length spectrum rigidity for surfaces and closed locally symmetric manifolds.

Keywords

Cite

@article{arxiv.2206.01336,
  title  = {Marked length pattern rigidity for arithmetic manifolds},
  author = {Yanlong Hao},
  journal= {arXiv preprint arXiv:2206.01336},
  year   = {2025}
}

Comments

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R2 v1 2026-06-24T11:37:48.439Z