Abstract:We investigate Einstein metrics on the total space of homogeneous torus bundles. Allowing for different embeddings of the isotropy group gives rise to infinite families of simply connected homogeneous spaces fibred over a common simply connected base, with toral fibres of fixed dimension. Descending to the common base, we establish a set of estimates that we use to prove a precompactness theorem for Einstein manifolds in these families.
From: Anusha Mangala Krishnan [view email]
[v1]
Thu, 25 Jun 2026 17:44:41 UTC (21 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。