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 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.

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References in corpus (2)

• Boundaries, rigidity of representations, and Lyapunov exponents
• North-South dynamics of hyperbolic free group automorphisms on the space of currents