{"id":"W4242265550","doi":"10.1002/9781119517566.ch19","title":"Semi‐Riemannian Manifolds","year":2019,"lang":"en","type":"other","venue":"","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Alberta","funders":"","keywords":"Mathematics; Ricci-flat manifold; Geodesic; Riemannian geometry; Curvature of Riemannian manifolds; Pure mathematics; Geodesic map; Manifold (fluid mechanics); Fundamental theorem of Riemannian geometry; Vector field; Mathematical analysis; Ricci curvature; Scalar curvature; Sectional curvature; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0003985471,0.0009582023,0.0004696628,0.001473583,0.0008891484,0.002352171,0.0004522682,0.0007354345,0.01587285],"category_scores_gemma":[0.001049926,0.0002168013,0.0005470525,0.001005986,0.002208419,0.002403348,0.001402558,0.001556394,0.005031765],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001015841,"about_ca_system_score_gemma":0.0005498996,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0009608883,"about_ca_topic_score_gemma":0.0005670478,"domain_scores_codex":[0.9995844,0.0001015264,0.00001989973,0.00008934003,0.0001609638,0.00004386118],"domain_scores_gemma":[0.9996595,0.00009045737,0.00005396282,0.00006011341,0.00009134864,0.00004450932],"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":[0.000003517998,0.000003934444,0.00007842599,0.00005062017,0.000004766228,0.00004795836,0.0001953573,0.0004042344,0.0007301857,0.9812539,0.006829043,0.01039804],"study_design_scores_gemma":[0.000002009035,0.0000217468,0.0006633474,0.00005397105,0.000006728593,0.0004215414,0.0001688671,0.002054271,0.000494528,0.6507465,0.345356,0.00001047624],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.03947031,0.0517235,0.1721991,0.006862407,0.002657911,0.00008584809,0.001047868,0.0005582212,0.7253948],"genre_scores_gemma":[0.6164277,0.04078922,0.08294505,0.002012766,0.00403943,0.0001604937,0.001609687,0.0004137404,0.2516019],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.01587285,"threshold_uncertainty_score":0.05310005,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02393915810988527,"score_gpt":0.2771380827676687,"score_spread":0.2531989246577834,"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."}}