Einstein $\mathrm{SU}(3)$ and $\mathrm{G}_2$ structures

Víctor Manero

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arXiv · 1607.07775

Einstein $\mathrm{SU}(3)$ and $\mathrm{G}_2$ structures

Víctor Manero

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Abstract

We describe a method to obtain $\mathrm{SU}(3)$-structures and $\mathrm{G}_2$-structures on 6 and 7-dimensional manifolds respectively, such that its associated metric is Einstein. More concretely, we have that different classes of $\mathrm{SU}(2)$ and $\mathrm{SU}(3)$-structures, on 5 and 6-dimensional manifolds whose induced metric is Einstein can produce, via warped products, different classes $\mathrm{SU}(3)$ and $\mathrm{G}_2$-structures such that its associated metric is also Einstein.

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Víctor Manero. 2016-07-26. Einstein $\mathrm{SU}(3)$ and $\mathrm{G}_2$ structures. https://arxiv.org/abs/1607.07775

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