Splitting of geodesics in homology classes
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- by Steven Zelditch PDF
- Proc. Amer. Math. Soc. 105 (1989), 1015-1019 Request permission
Abstract:
We prove a Chebotarev density theorem for closed geodesies in a fixed homology class on a compact hyperbolic surface. The theorem (and its proof) combines some work of Adachi-Sunada and Phillips-Sarnak.References
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Adachi-Sunada, Geodesics in homology classes (preprint).
- Ralph Phillips and Peter Sarnak, Geodesics in homology classes, Duke Math. J. 55 (1987), no. 2, 287–297. MR 894581, DOI 10.1215/S0012-7094-87-05515-3 P. Sarnak, Thesis, Stanford University, 1980.
- Toshikazu Sunada, Geodesic flows and geodesic random walks, Geometry of geodesics and related topics (Tokyo, 1982) Adv. Stud. Pure Math., vol. 3, North-Holland, Amsterdam, 1984, pp. 47–85. MR 758647, DOI 10.2969/aspm/00310047
- Toshikazu Sunada, Riemannian coverings and isospectral manifolds, Ann. of Math. (2) 121 (1985), no. 1, 169–186. MR 782558, DOI 10.2307/1971195
Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 105 (1989), 1015-1019
- MSC: Primary 58F17; Secondary 53C22
- DOI: https://doi.org/10.1090/S0002-9939-1989-0946640-8
- MathSciNet review: 946640