{ "id": "2505.09216", "version": "v1", "published": "2025-05-14T08:28:30.000Z", "updated": "2025-05-14T08:28:30.000Z", "title": "On simultaneous conjugacies of pairs of transverse foliations of the torus", "authors": [ "Martin Mion-Mouton" ], "categories": [ "math.DS" ], "abstract": "We prove in this note that two pairs of transverse minimal topological foliations of the torus are individually conjugated if, and only if they are simultaneously conjugated.", "revisions": [ { "version": "v1", "updated": "2025-05-14T08:28:30.000Z" } ], "analyses": { "subjects": [ "37E35", "37E10" ], "keywords": [ "transverse foliations", "simultaneous conjugacies", "transverse minimal topological foliations" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }