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
