{"paper":{"title":"Einstein almost cok\\\"ahler manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Diego Conti, Marisa Fern\\'andez","submitted_at":"2014-09-15T20:13:59Z","abstract_excerpt":"We study an odd-dimensional analogue of the Goldberg conjecture for compact Einstein almost K\\\"ahler manifolds. We give an explicit non-compact example of an Einstein almost cok\\\"ahler manifold that is not cok\\\"ahler. We prove that compact Einstein almost cok\\\"ahler manifolds with non-negative $*$-scalar curvature are cok\\\"ahler (indeed, transversely Calabi-Yau); more generally, we give a lower and upper bound for the $*$-scalar curvature in the case that the structure is not cok\\\"ahler. We prove similar bounds for almost K\\\"ahler Einstein manifolds that are not K\\\"ahler."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.4437","kind":"arxiv","version":3},"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"}