Details
| Original language | English |
|---|---|
| Pages (from-to) | 231-243 |
| Number of pages | 13 |
| Journal | Communications in Mathematical Physics |
| Volume | 100 |
| Issue number | 2 |
| Publication status | Published - Jun 1985 |
| Externally published | Yes |
Abstract
We construct a 1:1 correspondence between the equivalence classes of Yang-Mills fields over S2 and the conjugacy classes of closed geodesics of the structure group. Furthermore, we give an explicit isolation theorem for any Yang-Mills field over S2.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Statistical and Nonlinear Physics
- Mathematics(all)
- Mathematical Physics
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In: Communications in Mathematical Physics, Vol. 100, No. 2, 06.1985, p. 231-243.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Yang-Mills equations on the two-dimensional sphere
AU - Friedrich, Th
AU - Habermann, L.
PY - 1985/6
Y1 - 1985/6
N2 - We construct a 1:1 correspondence between the equivalence classes of Yang-Mills fields over S2 and the conjugacy classes of closed geodesics of the structure group. Furthermore, we give an explicit isolation theorem for any Yang-Mills field over S2.
AB - We construct a 1:1 correspondence between the equivalence classes of Yang-Mills fields over S2 and the conjugacy classes of closed geodesics of the structure group. Furthermore, we give an explicit isolation theorem for any Yang-Mills field over S2.
UR - http://www.scopus.com/inward/record.url?scp=34250116069&partnerID=8YFLogxK
U2 - 10.1007/BF01212449
DO - 10.1007/BF01212449
M3 - Article
AN - SCOPUS:34250116069
VL - 100
SP - 231
EP - 243
JO - Communications in Mathematical Physics
JF - Communications in Mathematical Physics
SN - 0010-3616
IS - 2
ER -