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Zeitschrift für Analysis und ihre Anwendungen

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Volume 3, Issue 5, 1984, pp. 401–412
DOI: 10.4171/ZAA/117

Published online: 1984-10-31

Konforminvarianten vom Gewicht –1 elnes Zusammenhanges oder Eichfeldes

Rainer Schimming[1]

(1) Ernst-Moritz-Arndt-Universität Greifswald, Germany

A connection or a gauge field in a vector bundle over a riemannian manifold is introduced by means of some given Laplace-like operator. Applying new results of P. Günther and V. Wünsch we construct a sequence of conformal invariants of weight –1 for a gauge field. These are relevant e.g. in the theory of Huygens’ principle. We calculate the relative conformal invariants for some examples; especially they vanish for any instanton gauge field.

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Schimming Rainer: Konforminvarianten vom Gewicht –1 elnes Zusammenhanges oder Eichfeldes. Z. Anal. Anwend. 3 (1984), 401-412. doi: 10.4171/ZAA/117