Homology of closed geodesics in certain riemannian manifolds

Atsushi Katsuda, Toshikazus Unada

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)657-660
Number of pages4
JournalProceedings of the American Mathematical Society
Volume96
Issue number4
DOIs
Publication statusPublished - Jan 1 1986

Fingerprint

Locally Symmetric Spaces
Geodesies
Closed Geodesics
Trace Formula
Riemannian Manifold
Homology
Closed
Class

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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

In: Proceedings of the American Mathematical Society, Vol. 96, No. 4, 01.01.1986, p. 657-660.

Research output: Contribution to journalArticle

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