Chebotarev-type theorems in homology classes

Pollicott, Mark; Sharp, Richard

doi:10.1090/S0002-9939-07-08923-X

Chebotarev-type theorems in homology classes
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by Mark Pollicott and Richard Sharp

Proc. Amer. Math. Soc. 135 (2007), 3887-3894

DOI: https://doi.org/10.1090/S0002-9939-07-08923-X

Published electronically: August 30, 2007

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Abstract:

We describe how closed geodesics lying in a prescribed homology class on a negatively curved manifold split when lifted to a finite cover. This generalizes a result of Zelditch in the case of compact hyperbolic surfaces.

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