Energy gaps for exponential Yang-Mills fields

Zhen Rong Zhou

Archivum Mathematicum (2018)

  • Volume: 054, Issue: 3, page 127-134
  • ISSN: 0044-8753

Abstract

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In this paper, some inequalities of Simons type for exponential Yang-Mills fields over compact Riemannian manifolds are established, and the energy gaps are obtained.

How to cite

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Zhou, Zhen Rong. "Energy gaps for exponential Yang-Mills fields." Archivum Mathematicum 054.3 (2018): 127-134. <http://eudml.org/doc/294236>.

@article{Zhou2018,
abstract = {In this paper, some inequalities of Simons type for exponential Yang-Mills fields over compact Riemannian manifolds are established, and the energy gaps are obtained.},
author = {Zhou, Zhen Rong},
journal = {Archivum Mathematicum},
keywords = {exponential Yang-Mills field; energy gap},
language = {eng},
number = {3},
pages = {127-134},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Energy gaps for exponential Yang-Mills fields},
url = {http://eudml.org/doc/294236},
volume = {054},
year = {2018},
}

TY - JOUR
AU - Zhou, Zhen Rong
TI - Energy gaps for exponential Yang-Mills fields
JO - Archivum Mathematicum
PY - 2018
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 054
IS - 3
SP - 127
EP - 134
AB - In this paper, some inequalities of Simons type for exponential Yang-Mills fields over compact Riemannian manifolds are established, and the energy gaps are obtained.
LA - eng
KW - exponential Yang-Mills field; energy gap
UR - http://eudml.org/doc/294236
ER -

References

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  10. Hebey, E., Sobolev spaces on Riemannian manifolds, Lecture Notes in Math., vol. 1635, Springer-Verlag Berlin Heidelberg, 1996. (1996) MR1481970
  11. Min-Oo,, An L 2 -isolation theorem for Yang-Mills fields, Compositio Math. 47 (2) (1982), 153–163. (1982) MR0677017
  12. Shen, C.L., 10.1007/BF01214999, Math. Z. 180 (1982), 69–77. (1982) MR0656222DOI10.1007/BF01214999
  13. Zhou, Z.R., 10.1007/s10455-015-9467-z, Ann. Global Anal. Geom. 48 (3) (2015), 223–232. (2015) MR3396465DOI10.1007/s10455-015-9467-z
  14. Zhou, Z.R., 10.1016/j.jmaa.2016.02.058, J. Math. Anal. Appl. 439 (2016), 514–522. (2016) MR3475935DOI10.1016/j.jmaa.2016.02.058
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