SU(3) structures on S2 bundles over four-manifolds

Abstract

We construct globally-defined $SU(3)$ structures on smooth compact toric varieties (SCTV) in the class of ${\mathbb{CP}}^1$ bundles over $M$, where $M$ is an arbitrary SCTV of complex dimension two. The construction can be extended to the case where the base is Kähler-Einstein of positive curvature, but not necessarily toric, and admits a parameter space which includes $SU(3)$ structures of LT type.

arXiv comment35 pages

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Cited by in corpus (1)

• Calabi-Yau Manifolds and SU(3) Structure