{"id":"W2159046074","doi":"10.4153/cmb-2000-052-6","title":"On the Existence of a New Class of Contact Metric Manifolds","year":2000,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":71,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Mathematics; Class (philosophy); Pure mathematics; Metric (unit); Algebra over a field; Epistemology","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":[0.0004381884,0.0003164155,0.0007317062,0.002148666,0.002459216,0.002296786,0.0005762941,0.001206721,0.00444653],"category_scores_gemma":[0.001841788,0.0002498366,0.0004158173,0.0009537684,0.002504404,0.002402679,0.002459279,0.00106128,0.0002734139],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007329423,"about_ca_system_score_gemma":0.0003376556,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004786021,"about_ca_topic_score_gemma":0.0005261921,"domain_scores_codex":[0.9996665,0.00003952066,0.00001926146,0.00006173118,0.0001275878,0.00008537659],"domain_scores_gemma":[0.9988685,0.0002762394,0.0001926765,0.0001460581,0.0002023404,0.0003142933],"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":[0.00008636947,0.00003819439,0.005947066,0.00007730821,0.00001494642,0.0009114596,0.0009110415,0.001914533,0.006783357,0.966234,0.002186923,0.01489476],"study_design_scores_gemma":[0.00004091292,0.000176338,0.01399662,0.00009244153,0.00003287339,0.003343374,0.0009941737,0.03293433,0.005113333,0.9082906,0.03492047,0.00006442844],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9057839,0.001194019,0.04966298,0.000920729,0.0001216451,0.00005825785,0.0001421911,0.000191362,0.04192475],"genre_scores_gemma":[0.9900328,0.0003126877,0.006815962,0.00008134859,0.00007725898,0.00004279907,0.0001271667,0.00001931882,0.002490649],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00444653,"threshold_uncertainty_score":0.01487517,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03292336156410824,"score_gpt":0.251615658119476,"score_spread":0.2186922965553678,"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."}}