{"paper":{"title":"Invariants for the Lagrangian Equivalence Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Eugenia Rosado Mar\\'ia, Jaime Mu\\~noz Masqu\\'e, Marco Castrill\\'on L\\'opez","submitted_at":"2017-07-05T17:55:07Z","abstract_excerpt":"Let $M$ be a connected smooth manifold, let $\\operatorname{Aut}(p)$ be the group automorphisms of the bundle $p\\colon \\mathbb{R}\\times M\\to \\mathbb{R}$, and let $q\\colon J^1(\\mathbb{R},M)\\times \\mathbb{R\\to }J^1(\\mathbb{R},M)$ be the canonical projection. Invariant functions on $J^r(q)$ under the natural action of $\\operatorname{Aut}(p)$ are discussed in relationship with the Lagrangian equivalence problem. The second-order invariants are determined geometrically as well as some other higher-order invariants for $\\dim M\\geq 2$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1707.01494","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"}