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
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 journal › Article
}
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.
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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 -