{"paper":{"title":"Classification of connected holonomy groups of pseudo-K\\\"ahlerian manifolds of index 2","license":"","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Anton S. Galaev","submitted_at":"2004-05-06T14:18:58Z","abstract_excerpt":"The problem of classification of connected holonomy groups (equivalently of holonomy algebras) for pseudo-Riemannian manifolds is open. The classification of Riemannian holonomy algebras is a classical result. The classification of Lorentzian holonomy algebras was obtained recently.\n  In the present paper weakly-irreducible not irreducible subalgebras of $\\su(1,n+1)$ ($n\\geq 0$) are classified. Weakly-irreducible not irreducible holonomy algebras of pseudo-K\\\"ahlerian and special pseudo-K\\\"ahlerian manifolds are classified. An example of metric for each possible holonomy algebra is given. This"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"math/0405098","kind":"arxiv","version":5},"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"}