Published on:

8 February 2024

Primary Category:

Dynamical Systems

Paper Authors:

Nestor Nina Zarate,

Sergio Romaña

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Proves rigidity of Lyapunov exponents for surfaces without focal points

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Extends previous result on rigidity of Lyapunov exponents to Anosov geodesic flows on surfaces

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Uses different techniques to extend a rigidity result to finite volume case with maximal/minimal exponents

Rigidity of Lyapunov exponents for geodesic flows

This paper proves that for a surface without focal points, if the Lyapunov exponents are constant for all periodic orbits, the surface has constant negative curvature or is the flat 2-torus. The same result is shown for Anosov geodesic flows on surfaces, generalizing a previous result in dimension two. The paper also extends a previous finite volume rigidity result to the case where Lyapunov exponents are maximal or minimal along all periodic orbits.

Floating bodies and duality in constant curvature spaces

Spectral gaps on negatively curved surfaces

Poincare inequality for translators and self-expanders

On periodic orbits of Hamiltonian systems on semipositive symplectic manifolds

Existence of circle packings conformal to polyhedral metrics

Einstein metrics on toric 4-manifolds

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