Konforminvarianten vom Gewicht –1 elnes Zusammenhanges oder Eichfeldes

Abstract

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.