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Homology of closed geodesics in certain Riemannian manifolds


Authors: Atsushi Katsuda and Toshikazu Sunada
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
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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 [Enhancements On Off] (What's this?)

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DOI: https://doi.org/10.1090/S0002-9939-1986-0826498-5
Article copyright: © Copyright 1986 American Mathematical Society

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