Invariant forms, associated bundles and Calabi-Yau metrics

Details Invariant forms, associated bundles and Calabi-Yau metrics Invariant forms, associated bundles and Calabi-Yau metrics

2007-04-26

arxiv.org/abs/0704.3530v2

Journal of Geometry and Physics N. 57 (12), 2007, pp. 2483-2508

Mathematics

Differential Geometry

36 pages. v2: changed title, added new examples in 7.2

Scientific paper

10.1016/j.geomphys.2007.08.010

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.

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