{"paper":{"title":"Special curves of 4d galilean space","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Alper Osman \\\"O\\u{g}renm\\.i\\c{s}, Mahmut Erg\\\"ut, Mehmet Bekta\\c{s}","submitted_at":"2011-11-02T08:30:38Z","abstract_excerpt":"Special curves and their characterizations are one of the main area of mathematicians and physicians.\n  As a special curve we will mainly focus on Mannheim curve which has the following relation:\nk1={\\beta}(k1^2+k2^)\nwhere k1 and k2 are curvature and torsion, respectively.\n  In the present paper we define Mannheim curves for 4-dimensional Galilean space and investigate some characterization of it."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.0419","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"}