Calabi-Yau Connections with Torsion on Toric Bundles

Mathematics – Differential Geometry

Scientific paper

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18 pages, final version to appear in J.Diff.Geom

Scientific paper

We find sufficient conditions for a principal toric bundle over compact
K\"ahler manifolds to admit Calabi-Yau connections with torsion. With the aids
of a topological classification, we construct such geometry on $n(S^2\times
S^4)#(n+1)(S^3\times S^3)$

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