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arXiv · 1707.04636

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

Robin Terrisse·Dimitrios Tsimpis
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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.

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Robin Terrisse, Dimitrios Tsimpis. 2017-07-14. SU(3) structures on S2 bundles over four-manifolds. https://doi.org/10.1007/jhep09(2017)133

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