Homology of closed geodesics in certain riemannian manifolds

Atsushi Katsuda; Toshikazus Unada

doi:10.1090/S0002-9939-1986-0826498-5

Homology of closed geodesics in certain riemannian manifolds

Atsushi Katsuda, Toshikazus Unada

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

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	https://doi.org/10.1090/S0002-9939-1986-0826498-5
Publication status	Published - Apr 1986
Externally published	Yes

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

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10.1090/S0002-9939-1986-0826498-5

Cite this

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title = "Homology of closed geodesics in certain riemannian manifolds",

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.",

author = "Atsushi Katsuda and Toshikazus Unada",

year = "1986",

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Homology of closed geodesics in certain riemannian manifolds

Abstract

All Science Journal Classification (ASJC) codes

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