{"id":"W3110834011","doi":"10.2298/fil2003795z","title":"On a Ricci quarter-symmetric metric recurrent connection and a projective Ricci quarter-symmetric metric recurrent connection in a Riemannian manifold","year":2020,"lang":"en","type":"article","venue":"Filomat","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":8,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"National Natural Science Foundation of China","keywords":"Mathematics; Fundamental theorem of Riemannian geometry; Connection (principal bundle); Levi-Civita connection; Ricci flow; Pure mathematics; Quarter (Canadian coin); Ricci curvature; Metric (unit); Metric connection; Mathematical analysis; Topology (electrical circuits); Combinatorics; Geometry","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":[0.0004671236,0.0008247403,0.0004770351,0.002268315,0.0009710953,0.001298262,0.0006141599,0.001162381,0.003717567],"category_scores_gemma":[0.001019763,0.00027604,0.0006915712,0.0009451651,0.002227977,0.002551405,0.001233658,0.001127927,0.0006336416],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008723946,"about_ca_system_score_gemma":0.0005239684,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009509737,"about_ca_topic_score_gemma":0.0007387805,"domain_scores_codex":[0.9996573,0.00009088485,0.00001662345,0.00008535211,0.00009772238,0.00005219341],"domain_scores_gemma":[0.9995831,0.00005899874,0.00009401637,0.00004764486,0.0001044994,0.0001117879],"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":[0.00001191456,0.000008894694,0.0001743871,0.00002946812,0.000005610364,0.0001436647,0.0001601542,0.00155869,0.002614885,0.9907598,0.0005318714,0.004000649],"study_design_scores_gemma":[0.00001380731,0.00009488372,0.001033497,0.00002620812,0.00001417708,0.0007543027,0.0001547408,0.03341082,0.001483274,0.9535545,0.009412074,0.00004762893],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.4626918,0.002548255,0.421047,0.001584706,0.0005909067,0.0001264757,0.0005005954,0.0004100274,0.1105002],"genre_scores_gemma":[0.9161226,0.001468489,0.05348266,0.0003365991,0.0004428999,0.00008132278,0.0003193775,0.0001304695,0.02761562],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003717567,"threshold_uncertainty_score":0.01243651,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03741750571555641,"score_gpt":0.2834074158671046,"score_spread":0.2459899101515481,"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."}}