{"paper":{"title":"Principal bundle structures among second order frame bundles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"A. Mart\\'in M\\'endez, M. De Le\\'On","submitted_at":"2015-04-10T13:49:13Z","abstract_excerpt":"Using a model for the bundle $\\hat{\\mathcal F}^2M$ of semi-holonomic second order frames of a manifold $M$ as an extension of the bundle ${\\mathcal F}^2M$ of holonomic second order frames of $M$, we introduce in $\\hat{\\mathcal F}^2M$ a principal bundle structure over ${\\mathcal F}^2M$, the structure group being the additive group $A_2(n)$ of skew-symmetric bilinear maps from ${\\Bbb R}^2 \\times {\\Bbb R}^n$ into ${\\Bbb R}^n$. The composition of the projection of that structure with the existing projection of the bundle $\\tilde{\\mathcal F}^2M$ of non-holonomic second order frames of $M$ over $\\ha"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1504.02679","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"}