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Chebotarev-type theorems in homology classes |
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| Authors: | Mark Pollicott Richard Sharp |
| Affiliation: | Department of Mathematics, University of Warwick, Coventry, CV4 7AL, United Kingdom ; School of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, United Kingdom |
| 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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