{"paper":{"title":"New homogeneous Einstein metrics on 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":"2013-11-07T05:25:18Z","abstract_excerpt":"We consider invariant Einstein metrics on the Stiefel manifold $V_q\\bb{R} ^n$ of all orthonormal $q$-frames in $\\bb{R}^n$. This manifold is diffeomorphic to the homogeneous space $\\SO(n)/\\SO(n-q)$ and its isotropy representation contains equivalent summands. %This causes difficulty in the description of all $\\SO(n)$-invariant metrics.\n  We prove, by assuming additional symmetries, that $V_4\\bb{R}^n$ $(n\\ge 6)$ admits at least four $\\SO(n)$-invariant Einstein metrics, two of which are Jensen's metrics and the other two are new metrics. Moreover, we prove that $V_5\\bb{R}^7$ admits at least six i"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1311.1579","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"}