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An $$L_2$$-isolation theorem for Yang-Mills fields over complete manifolds. (English) Zbl 0518.53039

##### MSC:
 53C20 Global Riemannian geometry, including pinching 53C05 Connections, general theory 58J10 Differential complexes
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##### References:
 [1] P.R. Chernoff : Essential self-adjointness of powers of generators of hyperbolic equations . Journal of Functional Analysis 12 (1973) 401-414. · Zbl 0263.35066 · doi:10.1016/0022-1236(73)90003-7 [2] J. Dodziuk : Vanishing theorems for square integrable harmonic forms, Geometry and analysis, papers dedicated to the memory of V.K. Patodi , Indian Academy of Sciences and Tata Institute of Fundamental Research, Bombay, 1981, pp. 21-27. · Zbl 0495.58002 [3] P. Li : On the Sobolev constant and the p-Spectrum of a compact Riemannian manifold , Ann. Scient. Éc. Norm. Sup. 4e serie, t. 13 (1980) 451-469. · Zbl 0466.53023 · doi:10.24033/asens.1392 · numdam:ASENS_1980_4_13_4_451_0 · eudml:82061 [4] Min-O : An L2-isolation theorem for Yang-Mills fields , this journal. · Zbl 0519.53042 · numdam:CM_1982__47_2_153_0 · eudml:89565 [5] G. Derham : Variétés différentiables , Hermann, Paris 1973. · Zbl 0284.58001 [6] C.-L. Shen : Gap-phenomena of Yang-Mills fields over complete manifolds , preprint. · Zbl 0471.58031 · doi:10.1007/BF01214999 · eudml:173171
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