{"paper":{"title":"Geometry of almost Cliffordian manifolds: classes of subordinated connections","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Jaroslav Hrdina, Petr Vasik","submitted_at":"2012-05-28T08:06:12Z","abstract_excerpt":"An almost Clifford and an almost Cliffordian manifold is a $G$--structure based on the definition of Clifford algebras. An almost Clifford manifold based on $\\mathcal O:= \\cc l (s,t)$ is given by a reduction of the structure group $GL(km, \\mathbb R)$ to $GL(m, {\\mathcal O})$, where $k=2^{s+t}$ and $m \\in \\mathbb N$. An almost Cliffordian manifold is given by a reduction of the structure group to $GL(m, \\mathcal O) GL(1,\\mathcal O)$. We prove that an almost Clifford manifold based on $\\mathcal O$ is such that there exists a unique subordinated connection, while the case of an almost Cliffordian"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1205.6048","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"}