{"paper":{"title":"Bi-conformal vector fields and the local geometric characterization of conformally separable pseudo-Riemannian manifolds II","license":"","headline":"","cross_cats":["gr-qc","math-ph","math.MP"],"primary_cat":"math.DG","authors_text":"Alfonso Garc\\'ia-Parrado G\\'omez-Lobo","submitted_at":"2005-06-08T17:27:16Z","abstract_excerpt":"In this paper we continue the study of bi-conformal vector fields started in {\\em Class. Quantum Grav.} {\\bf 21} 2153-2177. These are vector fields defined on a pseudo-Riemannian manifold by the differential conditions $\\lie P_{ab}=\\phi P_{ab}$, $\\lie\\Pi_{ab}=\\chi\\Pi_{ab}$ where $P_{ab}$, $\\Pi_{ab}$ are orthogonal and complementary projectors with respect to the metric tensor $\\rmg_{ab}$ and $\\lie$ is the Lie derivative. In a previous paper we explained how the analysis of these differential conditions enabled us to derive local geometric characterizations of the most relevant cases of {\\em co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0506148","kind":"arxiv","version":2},"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"}