{"paper":{"title":"A characterization of complex hyperbolic Kleinian groups in dimension 3 with trace fields contained in $\\mathbb R$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Joonhyung Kim, Sungwoon Kim","submitted_at":"2014-01-17T05:52:46Z","abstract_excerpt":"We show that $\\Gamma < \\textbf{SU}(3,1)$ is a non-elementary complex hyperbolic Kleinian group in which $tr(\\gamma) \\in \\R$ for all $\\gamma \\in \\Gamma$ if and only if $\\Gamma$ is conjugate to a subgroup of $\\textbf{SO}(3,1)$ or $\\textbf{SU}(1,1)\\times\\textbf{SU}(2)$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1401.4244","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"}