{"paper":{"title":"Smooth maps of a foliated manifold in a symplectic manifold","license":"","headline":"","cross_cats":["math.AP"],"primary_cat":"math.DG","authors_text":"Mahuya Datta, Md. Rabiul Islam","submitted_at":"2007-06-21T21:05:14Z","abstract_excerpt":"The immersions of a smooth manifold $M$ in a symplectic manifold $(N,\\sigma)$ inducing a given closed form $\\omega$ on $M$ satisfy the $C^0$-dense $h$-principle in the space of all continuous maps which pull back the deRham cohomology class of $\\sigma$ onto that of $\\omega$. In this paper we prove a foliated version of this result due to Gromov."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.3223","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"}