PreprintCC BY 4.0arXiv
A note on cohomogeneity one Einstein metrics on closed 4-manifolds
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.
Related
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BibTeX
@misc{donovan2026note,
title = {{A note on cohomogeneity one Einstein metrics on closed 4-manifolds}},
author = {Patrick Donovan},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.05288},
eprint = {2611.05288},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.05288},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - A note on cohomogeneity one Einstein metrics on closed 4-manifolds
AU - Patrick Donovan
PY - 2026
DA - 2026/11/03
PB - arXiv
DO - 10.48550/arxiv.2611.05288
UR - https://arxiv.org/abs/2611.05288
AB - 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.
ER -