Homogeneous Einstein metrics and local maxima of the Hilbert action

Abstract

In this short note, three infinite families of neutrally stable homogeneous Einstein metrics are ruled out as candidates for local maxima of the Hilbert action.

arXiv comment8 pages. Final version to appear in J. Geom. Physics

References in corpus (4)

• Stability and instability of Ricci solitons
• The stability of standard homogeneous Einstein manifolds
• Rigidity of $S{U}_n$-type symmetric spaces
• On a characterization of critical points of the scalar curvature functional

Cited by in corpus (1)

• The stability of standard homogeneous Einstein manifolds