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arxiv: 0704.3530 · v2 · submitted 2007-04-26 · 🧮 math.DG

Invariant forms, associated bundles and Calabi-Yau metrics

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keywords associatedcalabi-yauformsinvariantmethodmetricsspaceapply
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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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