Stability of Einstein metrics on symmetric spaces of compact type
Abstract
We prove the linear stability with respect to the Einstein-Hilbert action of the symmetric spaces $\mathrm{SU}(n)$, $n\geq3$, and $E_6/F_4$. Combined with earlier results, this resolves the stability problem for irreducible symmetric spaces of compact type.
- Publication:
-
arXiv e-prints
- Pub Date:
- December 2020
- DOI:
- 10.48550/arXiv.2012.10524
- arXiv:
- arXiv:2012.10524
- Bibcode:
- 2020arXiv201210524S
- Keywords:
-
- Mathematics - Differential Geometry;
- 53C24;
- 53C25;
- 53C30;
- 53C35
- E-Print:
- v1: 19 pages. v2: 25 pages, 17 without Appendix. Added new, shorter line of proof. Added Appendix. v3: Corrected minor typos. v4: Revised version. 26 pages, 18 without Appendix