A local limit theorem for closed geodesics and homology
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- by Richard Sharp
- Trans. Amer. Math. Soc. 356 (2004), 4897-4908
- DOI: https://doi.org/10.1090/S0002-9947-04-03534-2
- Published electronically: January 16, 2004
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Abstract:
In this paper, we study the distribution of closed geodesics on a compact negatively curved manifold. We concentrate on geodesics lying in a prescribed homology class and, under certain conditions, obtain a local limit theorem to describe the asymptotic behaviour of the associated counting function as the homology class varies.References
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Bibliographic Information
- Richard Sharp
- Affiliation: Department of Mathematics, University of Manchester, Oxford Road, Manchester M13 9PL, United Kingdom
- MR Author ID: 317352
- Email: sharp@maths.man.ac.uk
- Received by editor(s): March 28, 2003
- Received by editor(s) in revised form: June 6, 2003
- Published electronically: January 16, 2004
- Additional Notes: The author was supported by an EPSRC Advanced Research Fellowship
- © Copyright 2004 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 356 (2004), 4897-4908
- MSC (2000): Primary 37C27, 37C30, 37D20, 37D40, 53C22
- DOI: https://doi.org/10.1090/S0002-9947-04-03534-2
- MathSciNet review: 2084404