{"paper":{"title":"Real hypersurfaces in complex two-plane Grassmannians with commuting restricted Jacobi operators","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Changhwa Woo, Eunmi Pak, Young Jin Suh","submitted_at":"2014-09-25T08:12:24Z","abstract_excerpt":"In this paper, we have considered a new commuting condition, that is, $(R_\\xi\\phi) S = S (R_\\xi\\phi)$ \\big(resp. $(\\Bar{R}_N\\phi) S = S (\\Bar{R}_N\\phi$)\\big) between the restricted Jacobi operator~$R_\\xi\\phi$ (resp. $\\Bar{R}_N\\phi$), and the Ricci tensor $S$ for real hypersurfaces $M$ in $G_2({\\mathbb C}^{m+2})$. In terms of this condition we give a complete classification for Hopf hypersurfaces $M$ in $G_2({\\mathbb C}^{m+2})$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.7177","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"}