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Min-Oo, Maung

An \(L_ 2\)-isolation theorem for Yang-Mills fields. (English) Zbl 0519.53042

Compos. Math. 47, 153-163 (1982).
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Cited in 2 Reviews
Cited in 14 Documents

MSC:

53C20 Global Riemannian geometry, including pinching
58E15 Variational problems concerning extremal problems in several variables; Yang-Mills functionals
58J60 Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.)

Keywords:

isolation phenomena; Yang-Mills fields; Sobolev inequalities
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\textit{M. Min-Oo}, Compos. Math. 47, 153--163 (1982; Zbl 0519.53042)
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References:

[1] M.F. Atiyah , V.G. Drinfeld , N.J. Hitchin and Y.I. Manin : Construction of instantons . Phys. Lett. 65A (1978) 185-187. · Zbl 0424.14004
[2] M.F. Atiyah , N.J. Hitchin and I.M. Singer : Self-duality in four-dimensional riemannian geometry . Proc. Royal Soc. London A 362 (1978) 425-461. · Zbl 0389.53011
[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. · Zbl 0408.53023
[4] J.P. Bourguignon and H.B. Lawson, Jr. : Stability and isolation phenomena for Yang-Mills fields . Comm. Math. Phys. 79 (1981) 189-230. · Zbl 0475.53060
[5] V.G. Drinfeld and Y.I. Manin : A description of instantons . Comm. Math. Phys. 63 (1978) 177-192. · Zbl 0407.22017
[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. · Zbl 0466.53023
[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. · Zbl 0519.53043
[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. · Zbl 0199.25401
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