### 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 geodesies.

Original language | English |
---|---|

Pages (from-to) | 657-660 |

Number of pages | 4 |

Journal | Proceedings of the American Mathematical Society |

Volume | 96 |

Issue number | 4 |

DOIs | |

Publication status | Published - Jan 1 1986 |

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### All Science Journal Classification (ASJC) codes

- Mathematics(all)
- Applied Mathematics

### Cite this

*Proceedings of the American Mathematical Society*,

*96*(4), 657-660. https://doi.org/10.1090/S0002-9939-1986-0826498-5

**Homology of closed geodesics in certain riemannian manifolds.** / Katsuda, Atsushi; Unada, Toshikazus.

Research output: Contribution to journal › Article

*Proceedings of the American Mathematical Society*, vol. 96, no. 4, pp. 657-660. https://doi.org/10.1090/S0002-9939-1986-0826498-5

}

TY - JOUR

T1 - Homology of closed geodesics in certain riemannian manifolds

AU - Katsuda, Atsushi

AU - Unada, Toshikazus

PY - 1986/1/1

Y1 - 1986/1/1

N2 - 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 geodesies.

AB - 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 geodesies.

UR - http://www.scopus.com/inward/record.url?scp=84968503443&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84968503443&partnerID=8YFLogxK

U2 - 10.1090/S0002-9939-1986-0826498-5

DO - 10.1090/S0002-9939-1986-0826498-5

M3 - Article

VL - 96

SP - 657

EP - 660

JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

SN - 0002-9939

IS - 4

ER -