Closed G2-structures with conformally flat metric

Gavin Ball

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arXiv · 2002.01634

Closed G2-structures with conformally flat metric

Gavin Ball

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Abstract

This article classifies closed G2-structures such that the induced metric is conformally flat. It is shown that any closed G2-structure with conformally flat metric is locally equivalent to one of three explicit examples. In particular, it follows from the classification that any closed G2-structure inducing a metric that is both conformally flat and complete must be equivalent to the flat G2-structure on $\mathbb{R}^7.$

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BibTeX RIS

Gavin Ball. 2020-02-05. Closed G2-structures with conformally flat metric. https://arxiv.org/abs/2002.01634

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