Stability of the Non-Symmetric Space $E_7/\mathrm{PSO}(8)$
Differential Geometry
2023-08-08 v3
Abstract
We prove that the normal metric on the homogeneous space 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.
Keywords
Cite
@article{arxiv.2203.10138,
title = {Stability of the Non-Symmetric Space $E_7/\mathrm{PSO}(8)$},
author = {Paul Schwahn and Uwe Semmelmann and Gregor Weingart},
journal= {arXiv preprint arXiv:2203.10138},
year = {2023}
}
Comments
v1: 23 pages. v2: 21 pages, 3 tables. Restructured and streamlined. v3: Revised version. 22 pages, 3 tables