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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"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1810.00655","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2018-10-01T12:29:36Z","cross_cats_sorted":[],"title_canon_sha256":"489c96576b9fdfb4e2c307f8867d0989c5049af8f4f0cc8fae302d9b3c4e9c7c","abstract_canon_sha256":"05662128f24b9ae6c93c3b5c347637aae8c845e7bcbd19129f8c45290e206901"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:01:52.808822Z","signature_b64":"d9wJTOW+tNzpN48mRRbjCTG+lyD0gS1XqffxZYdDWDHg9VSYwlJjVdCJ0ejj+JcONXSKl4x5q/26gwW+O1AYCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8c2f8b5165eae6e7f3341f00b57186ad40673ab88dcde616fc5b81ce468e3667","last_reissued_at":"2026-05-18T00:01:52.808391Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:01:52.808391Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"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 $\\mathbb{H}^n$. 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