Cohomogeneity-one Einstein metrics on closed $4$-manifolds
Differential Geometry
2026-05-26 v1
Abstract
We classify the Einstein metrics on closed 4-manifolds whose isometry group has dimension at least 3. Consequently, we show that the cohomogeneity-one Einstein metrics on a closed -manifold are locally symmetric or homothetic to the Page metric on .
Cite
@article{arxiv.2605.24859,
title = {Cohomogeneity-one Einstein metrics on closed $4$-manifolds},
author = {Kyle Broder},
journal= {arXiv preprint arXiv:2605.24859},
year = {2026}
}