{"paper":{"title":"New homogeneous Einstein metrics on quaternionic Stiefel manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Andreas Arvanitoyeorgos, Marina Statha, Yusuke Sakane","submitted_at":"2018-10-01T12:29:36Z","abstract_excerpt":"We consider invariant Einstein metrics on the quaternionic Stiefel manifolds $V_p\\mathbb{H} ^n$ of all orthonormal $p$-frames in $\\mathbb{H}^n$. This manifold is diffeomorphic to the homogeneous space $\\mathrm{Sp}(n) / \\mathrm{Sp}(n-p)$ and its isotropy representation contains equivalent summands. We obtain new Einstein metrics on $V_p\\mathbb{H}^n \\cong \\mathrm{Sp}(n)/\\mathrm{Sp}(n-p)$, where $n = k_1 + k_2 + k_3$ and $p = n-k_3$. We view $V_p\\mathbb{H}^n$ as a total space over the generalized Wallach space $\\mathrm{Sp}(n) / (\\mathrm{Sp}(k_1) \\times \\mathrm{Sp}(k_2) \\times \\mathrm{Sp}(k_3))$ a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1810.00655","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}