Chebotarev-type theorems in homology classes

Authors:
Mark Pollicott and Richard Sharp

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

MSC (2000):
Primary 37C27, 37C30, 37D40

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

Published electronically:
August 30, 2007

MathSciNet review:
2354151

Full-text PDF

Abstract | References | Similar Articles | Additional Information

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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Additional Information

**Mark Pollicott**

Affiliation:
Department of Mathematics, University of Warwick, Coventry, CV4 7AL, United Kingdom

Email:
mpollic@maths.warwick.ac.uk

**Richard Sharp**

Affiliation:
School of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, United Kingdom

Email:
sharp@maths.man.ac.uk

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

Received by editor(s):
August 16, 2006

Received by editor(s) in revised form:
September 1, 2006

Published electronically:
August 30, 2007

Communicated by:
Jane M. Hawkins

Article copyright:
© Copyright 2007
American Mathematical Society