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Connections with $$L^ p$$bounds on curvature. (English) Zbl 0499.58019

##### MSC:
 53D50 Geometric quantization 81T08 Constructive quantum field theory 53C05 Connections (general theory) 58C15 Implicit function theorems; global Newton methods on manifolds
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##### References:
 [1] Bourguignon, J. P. Lawson, H. B., Jr.: Commun. Math. Phys.79, 189–230 (1981) · Zbl 0475.53060 [2] Hamilton, R.: Harmonic maps of manifolds with boundary. In: Lecture Notes in Mathematics, Vol. 471 Berlin, Heidelberg, New York: Springer 1975 · Zbl 0308.35003 [3] Husemoller, D.: Fibre bundles (Chap. 5). In: Graduate Texts in Mathematics, Vol. 20. Berlin, Heidelberg, New York: Springer 1966 · Zbl 0144.44804 [4] Morrey, C. B., Jr.: Multiple integrals in the calculus of variations. Berlin, Heidelberg, New York: Springer 1966 · Zbl 0142.38701 [5] Palais, R. S.: Foundations of global non-linear analysis. New York: Benjamin, 1968 · Zbl 0164.11102 [6] Steenrod, N.: The topology of fibre bundles (Part I). Princeton, New Jersey: Princeton University Press, 1951 · Zbl 0054.07103 [7] Taubes, C.: Existence of multimonopole solutions to the static SU (2) Yang-Mills-Higgs equations in the Prasad-Summerfield limit. See Jaffe, A. and Taubes, C., Vortices and Monopoles, Boston: Birkhäuser 1980 [8] Uhlenbeck, K.: Removable singularities in Yang-Mills fields, Commun. Math. Phys.83, 11–29 (1982) · Zbl 0491.58032
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