{"paper":{"title":"Addendum to the paper \"Hypersurfaces with Isometric Reeb Flow in Complex hyperbolic Two-Plane Grassmannians\"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Hyunjin Lee, Mi Jung Kim, Young Jin Suh","submitted_at":"2014-10-22T07:54:20Z","abstract_excerpt":"We classify all of real hypersurfaces $M$ with Reeb invariant shape operator in complex hyperbolic two-plane Grassmannians $SU_{2,m}/S(U_2{\\cdot}U_m)$, $m \\geq 2$. Then it becomes a tube over a totally geodesic $SU_{2,m-1}/S(U_2{\\cdot}U_{m-1})$ in $SU_{2,m}/S(U_2{\\cdot}U_m)$ or a horosphere whose center at infinity is singular and of type $JN \\in {\\mathfrak J}N$ for a unit normal vector field $N$ of $M$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1410.5934","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"}