Invariant forms, associated bundles and Calabi-Yau metrics
Abstract
Description
We develop a method, initially due to Salamon, to compute the space of ``invariant'' forms on an associated bundle X=P\times_G V, 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 TCP^1 and TCP^2.
36 pages. v2: changed title, added new examples in 7.2
36 pages. v2: changed title, added new examples in 7.2