{"id":"W3002014477","doi":"10.4153/s0008439520000016","title":"Metrizability of Holonomy Invariant Projective Deformation of Sprays","year":2020,"lang":"en","type":"article","venue":"Canadian Mathematical Bulletin","topic":"Advanced Differential Geometry Research","field":"Physics and Astronomy","cited_by":6,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Holonomy; Mathematics; Metrization theorem; Invariant (physics); Pure mathematics; Geodesic; Mathematical analysis; Mathematical physics","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":[0.0002931659,0.0004810227,0.0004466116,0.0008442095,0.0009296125,0.0008920489,0.0005390412,0.0006616199,0.004563619],"category_scores_gemma":[0.0009342991,0.0002517286,0.0006574901,0.0002253476,0.001949479,0.001290479,0.001331665,0.0007776871,0.0003306441],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007595309,"about_ca_system_score_gemma":0.0003137821,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007968093,"about_ca_topic_score_gemma":0.0004426565,"domain_scores_codex":[0.9996672,0.00004857226,0.00001782295,0.00007868461,0.00009619398,0.00009157551],"domain_scores_gemma":[0.9996799,0.0000341805,0.00008276136,0.00006495685,0.00004888465,0.00008940072],"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":[0.0002036621,0.00009764594,0.004858486,0.00007981724,0.00005330276,0.002209248,0.0009285069,0.01856623,0.05584791,0.9046981,0.00117572,0.01128135],"study_design_scores_gemma":[0.0001791661,0.0008387753,0.01758902,0.00004630733,0.00005948729,0.003562425,0.001077862,0.2252591,0.03569505,0.7047012,0.01083764,0.0001539946],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9713653,0.00008341251,0.01976774,0.0001636195,0.00004255592,0.00002953796,0.0000427785,0.0001282093,0.008376802],"genre_scores_gemma":[0.9949575,0.00003598476,0.002118403,0.00003332406,0.00002378894,0.00001162165,0.0000498278,0.00003719572,0.002732248],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.004563619,"threshold_uncertainty_score":0.01526684,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02624920286340115,"score_gpt":0.258129429168091,"score_spread":0.2318802263046898,"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."}}