{"id":"W2024482116","doi":"10.4153/cjm-2009-064-9","title":"On a Class of Landsberg Metrics in Finsler Geometry","year":2009,"lang":"en","type":"article","venue":"Canadian Journal of Mathematics","topic":"Advanced Differential Geometry Research","field":"Physics and Astronomy","cited_by":111,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Canadian Mathematical Society; National Science Foundation","keywords":"Finsler manifold; Mathematics; Metric (unit); Manifold (fluid mechanics); Pure mathematics; Class (philosophy); Scalar (mathematics); Riemannian geometry; Fundamental theorem of Riemannian geometry; Scalar curvature; Mathematical analysis; Geometry; Artificial intelligence","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"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":[0.0005368929,0.0004127645,0.0006281468,0.001004445,0.001116676,0.001342673,0.0004751402,0.0007993147,0.001980047],"category_scores_gemma":[0.001401316,0.0002211613,0.0004277854,0.0005817209,0.002277335,0.002669599,0.00119818,0.0004186107,0.0001939859],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001061791,"about_ca_system_score_gemma":0.0005177596,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001954201,"about_ca_topic_score_gemma":0.001463414,"domain_scores_codex":[0.9996777,0.00007018085,0.00002172681,0.00006610723,0.00008775811,0.00007665494],"domain_scores_gemma":[0.9994293,0.000107566,0.0001368854,0.00006479636,0.0001034357,0.0001579998],"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":[0.0000426019,0.00002811805,0.003127349,0.00005107297,0.00001804298,0.0004685372,0.0004653956,0.005552361,0.003305712,0.9809543,0.0008687992,0.005117751],"study_design_scores_gemma":[0.00003069785,0.0001516565,0.005615164,0.00003141052,0.00001496276,0.00111585,0.0003986577,0.04035737,0.001535317,0.9438416,0.006867869,0.00003954925],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9579473,0.000815941,0.02440274,0.0005398096,0.00004470709,0.00002336401,0.00008944926,0.00008851657,0.01604817],"genre_scores_gemma":[0.991951,0.0002719759,0.003976626,0.00007199719,0.00005685418,0.00001214021,0.0001038064,0.00001750453,0.003538011],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.001980047,"threshold_uncertainty_score":0.0077039,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02102739593366796,"score_gpt":0.2822199100612507,"score_spread":0.2611925141275827,"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."}}