{"id":"W1966592586","doi":"10.4153/cmb-2013-016-7","title":"Curvature of <i>K</i>-contact Semi-Riemannian Manifolds","year":2013,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Sectional curvature; Curvature of Riemannian manifolds; Curvature; Manifold (fluid mechanics); Ricci-flat manifold; Pure mathematics; Riemannian manifold; Character (mathematics); Vector field; Prescribed scalar curvature problem; Riemann curvature tensor; Mathematical analysis; Scalar curvature; Geometry","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002640052,0.0004721264,0.0002527958,0.001413615,0.0006225259,0.001154935,0.0003243892,0.0003765787,0.002591857],"category_scores_gemma":[0.0007375551,0.0001741744,0.0002979445,0.0005011671,0.001664861,0.001086531,0.0008243439,0.0004635635,0.0004351024],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009972355,"about_ca_system_score_gemma":0.0003799981,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001842764,"about_ca_topic_score_gemma":0.0009587804,"domain_scores_codex":[0.9997683,0.00003197475,0.00001501413,0.00005160859,0.00009244034,0.00004064329],"domain_scores_gemma":[0.9995455,0.0000386736,0.000135024,0.00004566591,0.0001262556,0.0001088492],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00009041614,0.00002547082,0.007316427,0.00009287793,0.00003534984,0.000506451,0.0008543957,0.00845038,0.03552898,0.9349291,0.001908295,0.01026191],"study_design_scores_gemma":[0.00002347646,0.0001516624,0.03741265,0.00005022398,0.00004931055,0.002716929,0.00103574,0.07993878,0.02051536,0.8381757,0.01982635,0.0001038477],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9005986,0.0005431712,0.05145645,0.0004156548,0.00006349628,0.00004376902,0.0002420778,0.0001964278,0.0464404],"genre_scores_gemma":[0.9927585,0.0001461944,0.002926626,0.00003336028,0.00002167454,0.00000873491,0.0001094074,0.00002088099,0.003974657],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.002591857,"threshold_uncertainty_score":0.008670568,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01502673466561302,"score_gpt":0.2304019205742175,"score_spread":0.2153751859086045,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}