{"paper":{"title":"Instantons on Cylindrical Manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Teng Huang","submitted_at":"2015-01-19T15:42:05Z","abstract_excerpt":"We consider an instanton,$\\textbf{A}$,with $L^{2}$-curvature $F_{\\textbf{A}}$ on the cylindrical manifold $Z=\\mathbf{R}\\times M$,where $M$ is a closed Riemannian $n$-manifold, $n\\geq 4$.We assume $M$ admits a $3$-form $P$ and a $4$-form $Q$ satisfy $dP=4Q$ and $d\\ast{Q}=(n-3)\\ast P$.Manifolds with these forms include nearly K\\\"{a}hler 6-manifolds and nearly parallel $G_{2}$-manifolds in dimension 7.Then we can prove that the instanton must be a flat connection."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1501.04525","kind":"arxiv","version":3},"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"}