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arXiv · 2105.06336

On the stability of homogeneous Einstein manifolds

Jorge Lauret
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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.

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Jorge Lauret. 2022-06-17. On the stability of homogeneous Einstein manifolds. https://arxiv.org/abs/2105.06336

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