Stability of the Non-Symmetric Space E₇/PSO(8)

2022/03/18 by Paul Schwahn, Uwe Semmelmann, Schwahn, Paul +3
Physics and Astronomy · Mathematics · #Advanced Differential Geometry Research #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2203.10138

Abstract

We prove that the normal metric on the homogeneous space E₇/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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