{"id":"W2017362957","doi":"10.1515/crelle.2010.043","title":"On stable minimal disks in manifolds with nonnegative isotropic curvature","year":2010,"lang":"de","type":"article","venue":"Journal für die reine und angewandte Mathematik (Crelles Journal)","topic":"Geometric Analysis and Curvature Flows","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia","funders":"","keywords":"Holomorphic function; Scalar curvature; Mathematics; Curvature; Mathematical analysis; Sectional curvature; Boundary (topology); Isotropy; Domain (mathematical analysis); Pure mathematics; Manifold (fluid mechanics); Geometry; Physics","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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow","sts","scholarly_communication","research_integrity","insufficient_payload"],"consensus_categories":["metaepi_narrow"],"category_scores_codex":[0.003539643,0.001624163,0.002767931,0.002369539,0.001355495,0.002271611,0.001521264,0.001036326,0.003117017],"category_scores_gemma":[0.002035107,0.0010718,0.001253132,0.002414468,0.0003104707,0.001122109,0.00026249,0.00999051,0.0004204219],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0005057264,"about_ca_system_score_gemma":0.0006184369,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00003772047,"about_ca_topic_score_gemma":0.0007023998,"domain_scores_codex":[0.9907687,0.0006035735,0.003031769,0.0009435523,0.002696403,0.001955978],"domain_scores_gemma":[0.9907674,0.001815562,0.003743599,0.001193976,0.001216953,0.001262511],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"not_applicable","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.0147327,0.04319852,0.01833504,0.009031767,0.0586101,0.06685346,0.07227819,0.006541943,0.01931932,0.2825927,0.3651296,0.04337664],"study_design_scores_gemma":[0.03500282,0.01313577,0.004124506,0.0220609,0.01765833,0.01632287,0.01998098,0.008018321,0.007335444,0.4678894,0.3793824,0.009088355],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":null,"genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9167928,0.04907906,0.009634937,0.006369943,0.003953043,0.001310086,0.0001412953,0.0001056659,0.01261316],"genre_scores_gemma":[0.9170686,0.02386359,0.03329181,0.0005700772,0.008295706,0.00003735821,0.0000417759,0.0005922741,0.01623881],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1852967,"threshold_uncertainty_score":0.9999446,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.01483390512987134,"score_gpt":0.2855169161976014,"score_spread":0.2706830110677301,"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."}}