{"paper":{"title":"Ruled surfaces right normalized","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Ioanna-Iris Papadopoulou, Stylianos Stamatakis","submitted_at":"2017-06-21T15:17:56Z","abstract_excerpt":"This paper deals with skew ruled surfaces $\\varPhi$ in the Euclidean space $\\mathbb{E}^{3}$ which are right normalized, that is they are equipped with relative normalizations, whose support function is of the form $q(u,v) = \\frac{f(u) + g(u)\\, v}{w(u,v)}$, where $w^2(u,v)$ is the discriminant of the first fundamental form of $\\varPhi$. This class of relatively normalized ruled surfaces contains surfaces such that their relative image $\\varPhi^{*}$ is either a curve or it is as well as $\\varPhi$ a ruled surface whose generators are, additionally, parallel to those of $\\varPhi$. Moreover we inve"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1706.07277","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"}