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arXiv · 2611.05288

A note on cohomogeneity one Einstein metrics on closed 4-manifolds

Patrick Donovan
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Abstract

K. Broder recently classified the closed Einstein 4-manifolds whose isometry groups have dimension at least three. The proof reduces the problem to the study of cohomogeneity-one Einstein metrics invariant under $SU(2)$, however a few cases are not treated. We reconcile the missing cases using Broder's techniques with minimal modifications.

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Patrick Donovan. 2026-11-03. A note on cohomogeneity one Einstein metrics on closed 4-manifolds. https://arxiv.org/abs/2611.05288

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