Invariant forms, associated bundles and Calabi-Yau metrics
Differential Geometry
2007-11-12 v2
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.
Keywords
Cite
@article{arxiv.0704.3530,
title = {Invariant forms, associated bundles and Calabi-Yau metrics},
author = {Diego Conti},
journal= {arXiv preprint arXiv:0704.3530},
year = {2007}
}
Comments
36 pages. v2: changed title, added new examples in 7.2