Balanced metrics on non-Kahler Calabi-Yau threefolds

Details Balanced metrics on non-Kahler Calabi-Yau threefolds Balanced metrics on non-Kahler Calabi-Yau threefolds

2008-09-27

arxiv.org/abs/0809.4748v2

J. Diff. Geom. 90(2012)81-129

Mathematics

Differential Geometry

Title changed, introduction rewritten and details of the proof of Lemma 4.2 added

Scientific paper

We construct balanced metrics on the family of non-K\"ahler Calabi-Yau
threefolds that are obtained by smoothing after contracting $(-1,-1)$-rational
curves on K\"ahler Calabi-Yau threefold. As an application, we construct
balanced metrics on complex manifolds diffeomorphic to connected sum of $k\geq
2$ copies of $S^3\times S^3$.

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