{"id":"W3212829576","doi":"10.1088/1742-6596/2070/1/012075","title":"On W<sub>0</sub> and W<sub>2</sub> ø-Symmetric Contact Manifold Admitting Quarter-Symmetric Metric Connection","year":2021,"lang":"en","type":"article","venue":"Journal of Physics Conference Series","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Connection (principal bundle); Quarter (Canadian coin); Metric (unit); Mathematics; Manifold (fluid mechanics); Curvature; Metric connection; Combinatorics; Riemann curvature tensor; Mathematical analysis; Pure mathematics; Geometry; Fundamental theorem of Riemannian geometry; Ricci curvature; Geography; Engineering","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":false,"about_ca":true,"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":[0.000198304,0.0006785965,0.0003813528,0.001786957,0.0009878291,0.0009829716,0.0005565027,0.0005793234,0.003003099],"category_scores_gemma":[0.0004840181,0.00024147,0.0005239085,0.000575493,0.00119187,0.001977761,0.001065596,0.0006259704,0.0003458932],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007682084,"about_ca_system_score_gemma":0.0003754026,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001345295,"about_ca_topic_score_gemma":0.001143536,"domain_scores_codex":[0.9998316,0.00003046244,0.000006443682,0.00004502718,0.00004559959,0.00004088858],"domain_scores_gemma":[0.9997517,0.00002273331,0.00007782583,0.00002308329,0.00004193091,0.00008266508],"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":[0.0001805983,0.00008169974,0.003221428,0.0001197252,0.00002999838,0.001461142,0.0007584614,0.01034864,0.02405698,0.9485657,0.001537302,0.009638075],"study_design_scores_gemma":[0.00003889288,0.0002776522,0.01428466,0.0000412054,0.00002795136,0.001946909,0.001007075,0.1446234,0.007247976,0.8252113,0.005220521,0.00007255745],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9611849,0.0003369741,0.02046756,0.000328013,0.00008600217,0.00002446547,0.0001022838,0.00005851095,0.01741128],"genre_scores_gemma":[0.9885412,0.0002701064,0.003261223,0.00004550193,0.00007798971,0.00001506904,0.0001310366,0.00003183598,0.007625956],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003003099,"threshold_uncertainty_score":0.01004636,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02684901201268382,"score_gpt":0.252621799685951,"score_spread":0.2257727876732672,"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."}}