Abstract
We study cohomology classes of Hölder continuous closed leafwise 1-forms on the stable foliation of an Anosov geodesic flow. Each class contains a harmonic 1-form and is determined by its periods. Asymptotic quantities are computed in terms of the Pressure function defined by the geodesic flow.
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Ledrappier, F. Harmonic 1-forms on the stable foliation. Bol. Soc. Bras. Mat 25, 121–138 (1994). https://doi.org/10.1007/BF01321304
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DOI: https://doi.org/10.1007/BF01321304