Stabilities of F-Yang-Mills fields on submanifolds

Gao-Yang Jia; Zhen Rong Zhou

Archivum Mathematicum (2013)

  • Volume: 049, Issue: 2, page 125-139
  • ISSN: 0044-8753

Abstract

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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.

How to cite

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Jia, Gao-Yang, and Zhou, Zhen Rong. "Stabilities of F-Yang-Mills fields on submanifolds." Archivum Mathematicum 049.2 (2013): 125-139. <http://eudml.org/doc/260699>.

@article{Jia2013,
abstract = {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.},
author = {Jia, Gao-Yang, Zhou, Zhen Rong},
journal = {Archivum Mathematicum},
keywords = {$F$-Yang-Mills field; stability; -Yang-Mills field; stability; -Yang-Mills connections},
language = {eng},
number = {2},
pages = {125-139},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Stabilities of F-Yang-Mills fields on submanifolds},
url = {http://eudml.org/doc/260699},
volume = {049},
year = {2013},
}

TY - JOUR
AU - Jia, Gao-Yang
AU - Zhou, Zhen Rong
TI - Stabilities of F-Yang-Mills fields on submanifolds
JO - Archivum Mathematicum
PY - 2013
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 049
IS - 2
SP - 125
EP - 139
AB - 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.
LA - eng
KW - $F$-Yang-Mills field; stability; -Yang-Mills field; stability; -Yang-Mills connections
UR - http://eudml.org/doc/260699
ER -

References

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  2. Bourguignon, J.–P., Lawson, H. B., Simons, J., 10.1073/pnas.76.4.1550, Proc. Acad. Sci. U.S.A. 76 (1979), 1550–1553. (1979) Zbl0408.53023MR0526178DOI10.1073/pnas.76.4.1550
  3. Chen, Q., Zhou, Z.–R., 10.4153/CJM-2007-053-x, Canad. J. Math. 59 (6) (2007), 1245–1259. (2007) Zbl1131.58010MR2363065DOI10.4153/CJM-2007-053-x
  4. Sibner, L. M., Sibner, R. J., Uhlenbeck, K., 10.1073/pnas.86.22.8610, Proc. Natl. Acad. Sci. USA 86 (1989), 8610–8613. (1989) Zbl0731.53031MR1023811DOI10.1073/pnas.86.22.8610
  5. Xin, Y. L., Instability theorems of Yang-Mills fields, Acta Math. Sci. 3 (1) (1983), 103–112. (1983) Zbl0543.58018MR0741362

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