Conformal structures with $G_{2(2)}$-ambient metrics

Thomas Leistner; Pawel Nurowski

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arXiv · 0904.0186

Conformal structures with $G_{2(2)}$-ambient metrics

Thomas Leistner·Pawel Nurowski

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Abstract

We present conformal structures in signature (3,2) for which the holonomy of the Fefferman-Graham ambient metric is equal to the non-compact exceptional Lie group G_{2(2)}. We write down the resulting 8-parameter family of G_{2(2)}-metrics in dimension seven explicitly in an appropriately chosen coordinate system on the ambient space.

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BibTeX RIS

Thomas Leistner, Pawel Nurowski. 2010-03-05. Conformal structures with $G_{2(2)}$-ambient metrics. https://arxiv.org/abs/0904.0186

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