| Title:
|
Stabilities of F-Yang-Mills fields on submanifolds (English) |
| Author:
|
Jia, Gao-Yang |
| Author:
|
Zhou, Zhen-Rong |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
49 |
| Issue:
|
2 |
| Year:
|
2013 |
| Pages:
|
125-139 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we define an $F$-Yang-Mills functional, and hence $F$-Yang-Mills fields. The first and the second variational formulas are calculated, and the stabilities of $F$-Yang-Mills fields on some submanifolds of the Euclidean spaces and the spheres are investigated, and hence the theories of Yang-Mills fields are generalized in this paper. (English) |
| Keyword:
|
$F$-Yang-Mills field |
| Keyword:
|
stability |
| MSC:
|
58E20 |
| idZBL:
|
Zbl 06321154 |
| idMR:
|
MR3118869 |
| DOI:
|
10.5817/AM2013-2-125 |
| . |
| Date available:
|
2013-10-14T13:43:15Z |
| Last updated:
|
2014-07-30 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143500 |
| . |
| Reference:
|
[1] Bourguignon, J.—P., Lawson, H. B.: Stability and isolation phenomena for Yang–Mills fields.Comm. Math. Phys. 79 (2) (1981), 189–230. Zbl 0475.53060, MR 0612248, 10.1007/BF01942061 |
| Reference:
|
[2] Bourguignon, J.–P., Lawson, H. B., Simons, J.: Stability and gap phenomena for Yang-Mills fields.Proc. Acad. Sci. U.S.A. 76 (1979), 1550–1553. Zbl 0408.53023, MR 0526178, 10.1073/pnas.76.4.1550 |
| Reference:
|
[3] Chen, Q., Zhou, Z.–R.: On gap properties and instabilities of p-Yang-Mills fields.Canad. J. Math. 59 (6) (2007), 1245–1259. Zbl 1131.58010, MR 2363065, 10.4153/CJM-2007-053-x |
| Reference:
|
[4] Sibner, L. M., Sibner, R. J., Uhlenbeck, K.: [Solutions to Yang–Mills equations that are not self–dual].Proc. Natl. Acad. Sci. USA 86 (1989), 8610–8613. Zbl 0731.53031, MR 1023811, 10.1073/pnas.86.22.8610 |
| Reference:
|
[5] Xin, Y. L.: Instability theorems of Yang-Mills fields.Acta Math. Sci. 3 (1) (1983), 103–112. Zbl 0543.58018, MR 0741362 |
| . |
