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arXiv · 2203.10138

Stability of the Non-Symmetric Space $E_7/\mathrm{PSO}(8)$

Paul Schwahn·Uwe Semmelmann·Gregor Weingart
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Abstract

We prove that the normal metric on the homogeneous space $E_7/\mathrm{PSO}(8)$ is stable with respect to the Einstein-Hilbert action, thereby exhibiting the first known example of a non-symmetric metric of positive scalar curvature with this property.

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Paul Schwahn, Uwe Semmelmann, Gregor Weingart. 2022-03-18. Stability of the Non-Symmetric Space $E_7/\mathrm{PSO}(8)$. https://arxiv.org/abs/2203.10138

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