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The gap phenomena of Yang-Mills fields over the complete manifold. (English) Zbl 0471.58031

MSC:
58J90 Applications of PDEs on manifolds
53C80 Applications of global differential geometry to the sciences
81T08 Constructive quantum field theory
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References:
[1] Atiyah, M.F., Hitchin, N.J., Singer, I.M.: Self duality in four dimensional Riemannian Geometry. Proc. Roy. Soc. London Ser. A362, 425-461 (1978) · Zbl 0389.53011 · doi:10.1098/rspa.1978.0143
[2] Bourguignon, J.P., Lawson, H.B.: Stability and isolation phenomena for Yang-Mills fields. Comm. Math. Phys.79, 189-230 (1981) · Zbl 0475.53060 · doi:10.1007/BF01942061
[3] Hildebrandt, S.: Liouville theorems for harmonic mappings and an approach to Bernstein theorem. Annals of Mathematics Studies. Princeton: Princeton University Press (to appear) · Zbl 0478.53030
[4] Min-Oo: An ?2-isolation theorem for Yang-Mills fields. Preprint · Zbl 0519.53042
[5] Shen, C.L.: On the sourcelessSU(N) gauge field over the four-dimensional self-dual compact Riemannian manifold with positive scalar curvature. In: Proceedings of the Beijing Symposium in Differential Geometry and Partial Differential Equations (Beijing 1980) (to appear)
[6] Yau, S.T.: Some function-theoretic properties of complete Riemannian manifolds and their applications to geometry. India Univ. Math. J.25, 659-670 (1976) · Zbl 0335.53041 · doi:10.1512/iumj.1976.25.25051
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