Homology of closed geodesics in certain Riemannian manifolds
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- by Atsushi Katsuda and Toshikazu Sunada PDF
- Proc. Amer. Math. Soc. 96 (1986), 657-660 Request permission
Abstract:
It is shown, by using the trace formula of Selberg type, that every primitive, one-dimensional homology class of a negatively curved compact locally symmetric space contains infinitely many prime closed geodesics.References
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Additional Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 96 (1986), 657-660
- MSC: Primary 58E10; Secondary 53C22
- DOI: https://doi.org/10.1090/S0002-9939-1986-0826498-5
- MathSciNet review: 826498