Some New Conformal Covariants

Abstract

By means of a certain conformal covariant differentiation process explicit formulae are derived for
(i) a conformally invariant generalized Bach tensor in dimension 6
(ii) conformally invariant differential operators acting on weighted functions, especially one with leading term ${?}^4$
(iii) conformal covariants on symmetric, trace-free p-tensor bundles, especially one with leading term ${?}^2$
(iv) conformal covariants on differential forms.
Furthermore, theorems for uniqueness, existence and non-existence of conformal covariants, in particular in dimension 4, are given.