Invariant forms, associated bundles and Calabi–Yau metrics

We develop a method, initially due to Salamon, for computing the space of “invariant” forms on an associated bundle X=P×GVX=P×GV, with a suitable notion of invariance. We determine sufficient conditions for this space to be d-closed. We apply our method to the construction of Calabi–Yau metrics on TCP1TCP1 and TCP2TCP2.