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 $4$-manifold are locally symmetric or homothetic to the Page metric on $\mathbf{CP}^2 \sharp \overline{\mathbf{CP}}^2$.
| Subjects: | Differential Geometry (math.DG) |
| Cite as: | arXiv:2605.24859 [math.DG] |
| (or arXiv:2605.24859v1 [math.DG] for this version) | |
| https://doi.org/10.48550/arXiv.2605.24859 arXiv-issued DOI via DataCite (pending registration) |
From: Kyle Broder [view email]
[v1]
Sun, 24 May 2026 04:28:41 UTC (33 KB)
此内容由惯性聚合(RSS阅读器)自动聚合整理，仅供阅读参考。 原文来自 — 版权归原作者所有。