{"id":"W1980790947","doi":"10.4153/cmb-2011-187-1","title":"Randers Metrics of Constant Scalar Curvature","year":2011,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Geometry Research","field":"Physics and Astronomy","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"National Science Foundation","keywords":"Mathematics; Scalar curvature; Curvature; Constant (computer programming); Homothetic transformation; Metric (unit); Vector field; Scalar (mathematics); Pure mathematics; Constant curvature; Finsler manifold; Mathematical analysis; Geometry; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":["insufficient_payload"],"consensus_categories":["insufficient_payload"],"category_scores_codex":[0.0001801348,0.0001261606,0.0002636044,0.0002239002,0.00005671316,0.00001403646,0.0002291375,0.00005809518,0.08030795],"category_scores_gemma":[0.0001231484,0.0001098644,0.00009856539,0.0003751362,0.0001811651,0.00002020744,0.00003461701,0.0002113435,0.001801045],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00003297468,"about_ca_system_score_gemma":0.0001369984,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001247751,"about_ca_topic_score_gemma":0.00006599718,"domain_scores_codex":[0.9989406,0.0000381908,0.0002444379,0.0001682224,0.000204255,0.0004042417],"domain_scores_gemma":[0.9989319,0.0001410311,0.00005761481,0.0002627362,0.0001029722,0.0005037867],"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":[0.00003423456,0.0002228649,0.007891926,0.0001307261,0.0001863925,0.0000213865,0.0004606271,0.000001934025,0.0002192306,0.973379,0.009441548,0.008010203],"study_design_scores_gemma":[0.003219406,0.0002527358,0.002167749,0.0003054093,0.0002217062,0.000009947873,0.002997265,0.0005180183,0.02046083,0.8942605,0.07434161,0.001244844],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.1457111,0.0002003221,0.10854,0.0007771532,0.0001323848,0.0007515202,0.0002458887,0.00003873316,0.7436028],"genre_scores_gemma":[0.9951749,0.000001062442,0.003361706,0.00004861845,0.00003371276,0.00001190669,0.00001020326,0.0000181588,0.001339727],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.8494638,"threshold_uncertainty_score":0.9989762,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0309624022534876,"score_gpt":0.2473579117424105,"score_spread":0.2163955094889229,"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."}}