A survey showing that stability and infinitesimal deformability of Einstein metrics both reduce to the spectrum of the Lichnerowicz Laplacian, with a compendium of known results and open questions.
A survey of Einstein metrics on 4-manifolds
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abstract
We survey some aspects of the current state of research on Einstein metrics on compact 4-manifolds. A number of open problems are presented and discussed.
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Einstein metrics, their moduli spaces and stability
A survey showing that stability and infinitesimal deformability of Einstein metrics both reduce to the spectrum of the Lichnerowicz Laplacian, with a compendium of known results and open questions.