On the stability of homogeneous Einstein manifolds
Differential Geometry
2022-06-20 v2
Abstract
Let g be a G-invariant Einstein metric on a compact homogeneous space M=G/K. We use a formula for the Lichnerowicz Laplacian of g at G-invariant TT-tensors to study the stability type of g as a critical point of the scalar curvature function. The case when g is naturally reductive is studied in special detail.
Keywords
Cite
@article{arxiv.2105.06336,
title = {On the stability of homogeneous Einstein manifolds},
author = {Jorge Lauret},
journal= {arXiv preprint arXiv:2105.06336},
year = {2022}
}
Comments
27 pages. Final version accepted in Asian J. Math