Invariant forms, associated bundles and Calabi-Yau metrics
arXiv:0704.3530 · doi:10.1016/j.geomphys.2007.08.010
Abstract
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