Stability of Einstein metrics on symmetric spaces of compact type

Paul Schwahn

Stability of Einstein metrics on symmetric spaces of compact type

Differential Geometry 2021-10-08 v4

Authors: Paul Schwahn

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.

Keywords

einstein metrics symmetric spaces linear stability einstein-hilbert action compact type

Cite

@article{arxiv.2012.10524,
  title  = {Stability of Einstein metrics on symmetric spaces of compact type},
  author = {Paul Schwahn},
  journal= {arXiv preprint arXiv:2012.10524},
  year   = {2021}
}

Comments

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

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