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arXiv · 1505.05178

On the Lagrange and Markov Dynamical Spectra for Geodesic Flows in Surfaces with Negative Curvature

Sergio Augusto Romaña Ibarra·Carlos Gustavo T. de A. Moreira
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Abstract

We consider the Lagrange and the Markov dynamical spectra associated to a geodesic flow on a surface of negative curvature. We show that for a large set of real functions on the unit tangent bundle and for typical metrics with negative curvature and finite volume, both the Lagrange and the Markov dynamical spectra have non-empty interior.

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Sergio Augusto Romaña Ibarra, Carlos Gustavo T. de A. Moreira. 2015-05-19. On the Lagrange and Markov Dynamical Spectra for Geodesic Flows in Surfaces with Negative Curvature. https://doi.org/10.3934/jmd.2023005

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