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arXiv · 2506.13248

Some isolation and stability results for Einstein manifolds

Letizia Branca·Klaus Kroencke
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Abstract

We prove new isolation and stability results for Einstein manifolds in a variety of settings. Imposing conditions on the Weyl tensor, we establish new stability criteria for compact, asymptotically hyperbolic (AH) and asymptotically locally Euclidean (ALE) manifolds and an isolation result in the latter setting. For compact K\"ahler and Sasaki $\eta$-Einstein manifolds, we provide similar results which involve the Bochner tensor and the contact Bochner tensor, respectively.

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Letizia Branca, Klaus Kroencke. 2025-06-16. Some isolation and stability results for Einstein manifolds. https://doi.org/10.1142/s0219199726500574

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