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arXiv · 1503.05231

Geometric characterization of Lyapunov exponents for Riemann surface laminations

Viet-Anh Nguyen
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Abstract

We characterize geometrically the Lyapunov exponents of a cocycle (of arbitrary rank) with respect to a harmonic current defined on a hyperbolic Riemann surface lamination. Our characterizations are formulated in terms of the expansion rates of the cocycle along geodesic rays.

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Viet-Anh Nguyen. 2015-03-17. Geometric characterization of Lyapunov exponents for Riemann surface laminations. https://doi.org/10.1007/s12220-017-9919-8

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