Equidistribution of holonomy in homology classes

Richard Sharp (University of Warwick)

Frank Adams 1,

For a compact group extension of an Anosov flow, we establish conditions under which the holonomies of periodic orbits are equidistributed when the orbits are restricted to a prescribed homology class. In particular, this applies to geodesic flows in negative curvature when the corresponding frame flow is ergodic.

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