A survey of Einstein metrics on 4-manifolds

Michael T. Anderson

A survey of Einstein metrics on 4-manifolds

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arxiv 0810.4830 v2 pith:SASLR25Y submitted 2008-10-27 math.DG

Michael T. Anderson This is my paper · ORCID

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keywords einsteinmanifoldsmetricssurveyaspectscompactcurrentdiscussed

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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
math.DG 2025-07 conditional novelty 2.0 of 10

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.

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