An L 2 -isolation theorem for Yang-Mills fields


Compositio Mathematica (1982)

  • Volume: 47, Issue: 2, page 153-163
  • ISSN: 0010-437X

How to cite


Min-Oo. "An $L_2$-isolation theorem for Yang-Mills fields." Compositio Mathematica 47.2 (1982): 153-163. <>.

author = {Min-Oo},
journal = {Compositio Mathematica},
keywords = {isolation phenomena; Yang-Mills fields; Sobolev inequalities},
language = {eng},
number = {2},
pages = {153-163},
publisher = {Martinus Nijhoff Publishers},
title = {An $L_2$-isolation theorem for Yang-Mills fields},
url = {},
volume = {47},
year = {1982},

AU - Min-Oo
TI - An $L_2$-isolation theorem for Yang-Mills fields
JO - Compositio Mathematica
PY - 1982
PB - Martinus Nijhoff Publishers
VL - 47
IS - 2
SP - 153
EP - 163
LA - eng
KW - isolation phenomena; Yang-Mills fields; Sobolev inequalities
UR -
ER -


  1. [1] M.F. Atiyah, V.G. Drinfeld, N.J. Hitchin and Y.I. Manin: Construction of instantons. Phys. Lett.65A (1978) 185-187. Zbl0424.14004MR598562
  2. [2] M.F. Atiyah, N.J. Hitchin and I.M. Singer: Self-duality in four-dimensional riemannian geometry. Proc. Royal Soc. LondonA362 (1978) 425-461. Zbl0389.53011MR506229
  3. [3] J.P. Bourguignon, H.B. Lawson, Jr. and J. Simons: Stability and gap phenomena for Yang-Mills fields. Proc. Nat. Acad. Sci. U.S.A.76 (1979) 1550-1553. Zbl0408.53023MR526178
  4. [4] J.P. Bourguignon and H.B. Lawson, JR.: Stability and isolation phenomena for Yang-Mills fields. Comm. Math. Phys.79 (1981) 189-230. Zbl0475.53060MR612248
  5. [5] V.G. Drinfeld and Y.I. Manin: A description of instantons. Comm. Math. Phys.63 (1978) 177-192. Zbl0407.22017MR513898
  6. [6] P. Li: On the Sobolev constant and the p-Spectrum of a compact Riemannian manifold, Ann. scient. Éc. Norm. Sup., 4e série, t. 13, 1980, pp 451-469. Zbl0466.53023MR608289
  7. [7] C.-L. Shen: On the sourceless SU(N) gauge field over a four-dimensional self-dual compact riemannian manifold with positive scalar curvature, preprint. Zbl0519.53043MR714377
  8. [8] I.M. Singer and J.A. Thorpe: The curvature of 4-dimensional Einstein spaces. In: Global analysis, Papers in honor of K. Kodaira. Princeton Univ. Press, Princeton, 1969, pp 355-365. Zbl0199.25401MR256303

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