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Chebotarev-type theorems in homology classes
Author(s):
Mark
Pollicott;
Richard
Sharp
Journal:
Proc. Amer. Math. Soc.
135
(2007),
3887-3894.
MSC (2000):
Primary 37C27, 37C30, 37D40
Posted:
August 30, 2007
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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.
References:
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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:
10.1090/S0002-9939-07-08923-X
PII:
S 0002-9939(07)08923-X
Received by editor(s):
August 16, 2006
Received by editor(s) in revised form:
September 1, 2006
Posted:
August 30, 2007
Communicated by:
Jane M. Hawkins
Copyright of article:
Copyright
2007,
American Mathematical Society
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