{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.001069862,0.0004980532,0.001254288,0.001636692,0.0002910703,0.0005015182,0.0003001605,0.0002371239,0.00003756517],"category_scores_gemma":[0.003373998,0.0004351159,0.0005250719,0.006823196,0.0000584121,0.001033312,0.0001099983,0.0009177311,0.00002447787],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001526751,"about_ca_system_score_gemma":0.000327279,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000006303548,"about_ca_topic_score_gemma":0.00002681796,"domain_scores_codex":[0.9963593,0.0003099774,0.001211715,0.0004750976,0.00111818,0.0005257084],"domain_scores_gemma":[0.9940777,0.001730791,0.001616481,0.0004394677,0.001831653,0.0003039177],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"bench_or_experimental","study_design_scores_codex":[0.0002817905,0.001327082,0.001581908,0.0004436138,0.001484184,0.0003320313,0.0008377436,0.00004678536,0.1524583,0.5145289,0.002458543,0.3242191],"study_design_scores_gemma":[0.001787573,0.001789789,0.008314225,0.0003949114,0.001014148,0.0004078478,0.003302831,0.00046057,0.8533928,0.1281084,0.0002625622,0.0007643862],"study_design_candidate":"bench_or_experimental","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9707301,0.001206842,0.02560237,0.000331649,0.0006245839,0.0001702785,0.00001634712,0.00004415189,0.00127366],"genre_scores_gemma":[0.9969969,0.001363968,0.0008448543,0.0001374884,0.0005507499,0.000006805144,0.00001103562,0.00005000556,0.00003813368],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.7009345,"threshold_uncertainty_score":0.99981,"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."}}